Pith Number

pith:7LUC47YT

pith:2013:7LUC47YTTDT4KWGU6PXMWZRKUC

not attested not anchored not stored refs pending

Ore localization and minimal injective resolutions

Rishi Vyas

arxiv:1302.6101 v2 · 2013-02-25 · 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{7LUC47YTTDT4KWGU6PXMWZRKUC}

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	2026-05-18T00:18:41.985332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae82e7f1398e7c558d4f3eecb662aa0b3c5228693b8fa176a1cbf2be38a2f31

Aliases

arxiv: 1302.6101 · arxiv_version: 1302.6101v2 · doi: 10.48550/arxiv.1302.6101 · pith_short_12: 7LUC47YTTDT4 · pith_short_16: 7LUC47YTTDT4KWGU · pith_short_8: 7LUC47YT

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/7LUC47YTTDT4KWGU6PXMWZRKUC \
  | 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: fae82e7f1398e7c558d4f3eecb662aa0b3c5228693b8fa176a1cbf2be38a2f31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2461259e6c9266751ce1c942213f45c4d28c0a1924c1ea1e7b7f63a19c53753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-02-25T14:29:56Z",
    "title_canon_sha256": "50a4159859254916a11a968cf2912b2058c4768b9982d26924dda10bafd1ed7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6101",
    "kind": "arxiv",
    "version": 2
  }
}