Pith Number

pith:Z37SWR4C

pith:2020:Z37SWR4CYBOVDT4B6KEWT2LQDL

not attested not anchored not stored refs pending

Homological algebra of modules over posets

Ezra Miller

arxiv:2008.00063 v2 · 2020-07-31 · math.AT · math.AC · math.AG · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z37SWR4CYBOVDT4B6KEWT2LQDL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Examples of descendent generating series for Pandharipande--Thomas stable pairs on smooth projective Fano threefolds via one-dimensional wall-crossing

Receipt and verification

First computed	2026-07-05T01:26:23.527326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceff2b4782c05d51cf81f28969e9701aef5ced9003450bc2b9da6c9499730bed

Aliases

arxiv: 2008.00063 · arxiv_version: 2008.00063v2 · doi: 10.48550/arxiv.2008.00063 · pith_short_12: Z37SWR4CYBOV · pith_short_16: Z37SWR4CYBOVDT4B · pith_short_8: Z37SWR4C

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z37SWR4CYBOVDT4B6KEWT2LQDL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ceff2b4782c05d51cf81f28969e9701aef5ced9003450bc2b9da6c9499730bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "108720cd66a6d48236a8900d90e80bc8996038ac16cd23cfd4f0536bddd58980",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-07-31T20:07:59Z",
    "title_canon_sha256": "84c6cbd278d1a907eb1670557cfe6696fc62eff2a3b8800463cd5bece8872816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00063",
    "kind": "arxiv",
    "version": 2
  }
}