Pith Number

pith:PMMUB2L2

pith:2013:PMMUB2L24FTENYV4V3RHOKW63R

not attested not anchored not stored refs pending

Twisted derived equivalences for affine schemes

Benjamin Antieau

arxiv:1311.2332 v1 · 2013-11-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMMUB2L24FTENYV4V3RHOKW63R}

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.

Receipt and verification

First computed	2026-05-18T03:07:32.934521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1940e97ae16646e2bcaee2772adedc6d089a2cca9867b01a07e1e22cc51a32

Aliases

arxiv: 1311.2332 · arxiv_version: 1311.2332v1 · doi: 10.48550/arxiv.1311.2332 · pith_short_12: PMMUB2L24FTE · pith_short_16: PMMUB2L24FTENYV4 · pith_short_8: PMMUB2L2

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/PMMUB2L24FTENYV4V3RHOKW63R \
  | 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: 7b1940e97ae16646e2bcaee2772adedc6d089a2cca9867b01a07e1e22cc51a32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "790c1b040a7fafee44df63a0a723f1fa83f64187e249c73126efb71e0dc64186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-11T02:16:09Z",
    "title_canon_sha256": "9dbd469c4092929458877e6b3b944303c0a5729e6b35cb71c8f054ba71d5025c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2332",
    "kind": "arxiv",
    "version": 1
  }
}