Pith Number

pith:V3SYERLU

pith:2015:V3SYERLU2JXXKZFMG3RIBRPROK

not attested not anchored not stored refs pending

On generalized completion homology modules

Waqas Mahmood

arxiv:1502.01108 v2 · 2015-02-04 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3SYERLU2JXXKZFMG3RIBRPROK}

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	2026-05-18T00:52:34.625935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee5824574d26f7564ac36e280c5f1729e41386e2df07aa162f9d1ca6de799be

Aliases

arxiv: 1502.01108 · arxiv_version: 1502.01108v2 · doi: 10.48550/arxiv.1502.01108 · pith_short_12: V3SYERLU2JXX · pith_short_16: V3SYERLU2JXXKZFM · pith_short_8: V3SYERLU

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/V3SYERLU2JXXKZFMG3RIBRPROK \
  | 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: aee5824574d26f7564ac36e280c5f1729e41386e2df07aa162f9d1ca6de799be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b26635dc3c3eec1de627dc07963dc71a0e1e712fae28cc5378a039ebe4acf880",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-02-04T06:47:47Z",
    "title_canon_sha256": "5b4f2d748664215c3095ef7000abaefb7cf1df4e05f0d29b384674588587a1d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01108",
    "kind": "arxiv",
    "version": 2
  }
}