Pith Number

pith:IMBNMLQF

pith:2015:IMBNMLQFWHYSIWSV6IVB7BMD4W

not attested not anchored not stored refs pending

Explicit homotopy limits of dg-categories and twisted complexes

Jonathan Block, Julian V. S. Holstein, Zhaoting Wei

arxiv:1511.08659 v3 · 2015-11-27 · math.CT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMBNMLQFWHYSIWSV6IVB7BMD4W}

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	2026-05-18T00:19:42.920456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4302d62e05b1f1245a55f22a1f8583e5b84cb71d4fea2b8c4befc28ee1d39d2f

Aliases

arxiv: 1511.08659 · arxiv_version: 1511.08659v3 · doi: 10.48550/arxiv.1511.08659 · pith_short_12: IMBNMLQFWHYS · pith_short_16: IMBNMLQFWHYSIWSV · pith_short_8: IMBNMLQF

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/IMBNMLQFWHYSIWSV6IVB7BMD4W \
  | 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: 4302d62e05b1f1245a55f22a1f8583e5b84cb71d4fea2b8c4befc28ee1d39d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54146b8cff9264dd64722278229c76bce9431d17a8087ac489842243751120de",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-11-27T13:21:16Z",
    "title_canon_sha256": "66b66a1d242b6930d2df5388684b45db2dab9e99799e803f8c1ff95d7bcf9058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08659",
    "kind": "arxiv",
    "version": 3
  }
}