Pith Number

pith:UCNCKFW7

pith:2015:UCNCKFW7ZOMCHSZ3AHIHLLIONC

not attested not anchored not stored refs pending

Euler Sequence and Koszul complex of a module

Bjorn Andreas, Dar\'io S\'anchez G\'omez, Fernando Sancho de Salas

arxiv:1509.06897 v1 · 2015-09-23 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCNCKFW7ZOMCHSZ3AHIHLLIONC}

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	2026-05-18T01:08:20.941544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09a2516dfcb9823cb3b01d075ad0e689648730ea43399b7542878f4e9ba5d14

Aliases

arxiv: 1509.06897 · arxiv_version: 1509.06897v1 · doi: 10.48550/arxiv.1509.06897 · pith_short_12: UCNCKFW7ZOMC · pith_short_16: UCNCKFW7ZOMCHSZ3 · pith_short_8: UCNCKFW7

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/UCNCKFW7ZOMCHSZ3AHIHLLIONC \
  | 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: a09a2516dfcb9823cb3b01d075ad0e689648730ea43399b7542878f4e9ba5d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a27c6b1be29a717e010ecd073e7a239fffffbce1be6755efdce4c06f5558bbd5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-23T09:26:07Z",
    "title_canon_sha256": "d662b8469ee79e81bfb944ebec1700b918e9b8e0dc0c6111c0a27043611cb78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06897",
    "kind": "arxiv",
    "version": 1
  }
}