Pith Number

pith:OFOTZG6H

pith:2014:OFOTZG6HW6QTCDWX5H2GZE4REA

not attested not anchored not stored refs pending

Poincar\'e/Koszul duality

David Ayala, John Francis

arxiv:1409.2478 v8 · 2014-09-08 · math.AT · 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{OFOTZG6HW6QTCDWX5H2GZE4REA}

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

What is the Geometric Langlands Correspondence about?

Receipt and verification

First computed	2026-05-18T00:01:10.926584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

715d3c9bc7b7a1310ed7e9f46c9391202684eeab4618feddee6e5bcaaed234db

Aliases

arxiv: 1409.2478 · arxiv_version: 1409.2478v8 · doi: 10.48550/arxiv.1409.2478 · pith_short_12: OFOTZG6HW6QT · pith_short_16: OFOTZG6HW6QTCDWX · pith_short_8: OFOTZG6H

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/OFOTZG6HW6QTCDWX5H2GZE4REA \
  | 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: 715d3c9bc7b7a1310ed7e9f46c9391202684eeab4618feddee6e5bcaaed234db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972e31ee298867810319e12124d47601adc1dab27ab55e83400018b7009b7f34",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-09-08T19:33:04Z",
    "title_canon_sha256": "2bb03a59451843766d3dacad05615b2d191b61821d7355f1587227c89d33f604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2478",
    "kind": "arxiv",
    "version": 8
  }
}