Pith Number

pith:VPREL7XH

pith:2013:VPREL7XHRVA4CUW7OAKN6GTKRI

not attested not anchored not stored refs pending

Sign patterns with minimum rank 3 and point-line configurations

Fei Gong, Guangming Jing, Lihua Zhang, Wei Gao, Yanling Shao, Yubin Gao, Zhongshan Li

arxiv:1312.6162 v1 · 2013-12-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPREL7XHRVA4CUW7OAKN6GTKRI}

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	2026-05-18T03:04:05.886648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe245fee78d41c152df7014df1a6a8a353ea4f942ab5343ecc7461b3b2c6a98

Aliases

arxiv: 1312.6162 · arxiv_version: 1312.6162v1 · doi: 10.48550/arxiv.1312.6162 · pith_short_12: VPREL7XHRVA4 · pith_short_16: VPREL7XHRVA4CUW7 · pith_short_8: VPREL7XH

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/VPREL7XHRVA4CUW7OAKN6GTKRI \
  | 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: abe245fee78d41c152df7014df1a6a8a353ea4f942ab5343ecc7461b3b2c6a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8dd859646521f5a04b010660287710a77894c67767b26981a1bb28c5c61c82b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-20T22:03:34Z",
    "title_canon_sha256": "b71a53c2ce67bd1404b800961ccf590957ee3d1b841b3a1327497253a2d66fd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6162",
    "kind": "arxiv",
    "version": 1
  }
}