Pith Number

pith:P7BIRIKE

pith:2013:P7BIRIKEIQB7YMRWR37PKB2HGH

not attested not anchored not stored refs pending

Reconstructing projective modules from its trace ideal

Dolors Herbera, Pavel Prihoda

arxiv:1309.5021 v1 · 2013-09-19 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7BIRIKEIQB7YMRWR37PKB2HGH}

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	2026-05-18T03:12:49.044681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc288a1444403fc32368efef5074731ca5e0d84166467e0cd28bc2667227788

Aliases

arxiv: 1309.5021 · arxiv_version: 1309.5021v1 · doi: 10.48550/arxiv.1309.5021 · pith_short_12: P7BIRIKEIQB7 · pith_short_16: P7BIRIKEIQB7YMRW · pith_short_8: P7BIRIKE

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/P7BIRIKEIQB7YMRWR37PKB2HGH \
  | 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: 7fc288a1444403fc32368efef5074731ca5e0d84166467e0cd28bc2667227788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aedf65b103a8b34a9fdd3db6ea8d3e5dec91d5b3491652755590999e5e53d5b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-19T15:26:05Z",
    "title_canon_sha256": "e9d8ff33f78a9a55f66626a68a3c344f916f27120c2064d551934c87bd8e5416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5021",
    "kind": "arxiv",
    "version": 1
  }
}