Pith Number

pith:HXSSZLNS

pith:2013:HXSSZLNSZHUPYRV2HESNOPBUNL

not attested not anchored not stored refs pending

Pure injective and absolutely pure sheaves

Edgar Enochs, Sergio Estrada, Sinem Odaba\c{s}{\i}

arxiv:1307.1729 v3 · 2013-07-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXSSZLNSZHUPYRV2HESNOPBUNL}

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	2026-05-18T01:09:32.599833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de52cadb2c9e8fc46ba3924d73c346ae3609400dbdc196c66bb59b3c8efe436

Aliases

arxiv: 1307.1729 · arxiv_version: 1307.1729v3 · doi: 10.48550/arxiv.1307.1729 · pith_short_12: HXSSZLNSZHUP · pith_short_16: HXSSZLNSZHUPYRV2 · pith_short_8: HXSSZLNS

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/HXSSZLNSZHUPYRV2HESNOPBUNL \
  | 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: 3de52cadb2c9e8fc46ba3924d73c346ae3609400dbdc196c66bb59b3c8efe436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d32ab4ee4f6fc9a2ad4cefc3c43bc79e336e8311c03ac3782e6dfc3bb2224a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-05T22:20:18Z",
    "title_canon_sha256": "8056dfca69cb2b3bfac2e0b50e7635a645ddfe82f16025cb1a2531338ae78603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1729",
    "kind": "arxiv",
    "version": 3
  }
}