Pith Number

pith:GACYU7QP

pith:2017:GACYU7QPKYZ4EJ66MHPBH3KWWI

not attested not anchored not stored refs pending

An algorithm to compute a presentation of pushforward modules

A. J. Miranda, G. Pe\~nafort-Sanchis, M. E. Hernandes

arxiv:1703.03357 v1 · 2017-03-09 · math.AG · 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{GACYU7QPKYZ4EJ66MHPBH3KWWI}

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	2026-05-18T00:49:00.609183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30058a7e0f5633c227de61de13ed56b21a13d6d57cb48bbc369c26ce9cf9f360

Aliases

arxiv: 1703.03357 · arxiv_version: 1703.03357v1 · doi: 10.48550/arxiv.1703.03357 · pith_short_12: GACYU7QPKYZ4 · pith_short_16: GACYU7QPKYZ4EJ66 · pith_short_8: GACYU7QP

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/GACYU7QPKYZ4EJ66MHPBH3KWWI \
  | 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: 30058a7e0f5633c227de61de13ed56b21a13d6d57cb48bbc369c26ce9cf9f360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041840659a7b8954922092bb89fa4493181eb91bb026e844c58115b885f101c2",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-09T17:20:52Z",
    "title_canon_sha256": "6d055e967c493cd7aee13e8a2cad22431d437d25b304c8b64849a116733bd4cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03357",
    "kind": "arxiv",
    "version": 1
  }
}