Pith Number

pith:XRFU2VYR

pith:2016:XRFU2VYRMUQMCVTDTEY5724XC4

not attested not anchored not stored refs pending

Extremal anti-forcing numbers of perfect matchings of graphs

Heping Zhang, Kai Deng

arxiv:1607.05392 v1 · 2016-07-19 · 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{XRFU2VYRMUQMCVTDTEY5724XC4}

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	2026-05-18T01:10:55.105913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc4b4d57116520c156639931dfeb9717282aa13e8e3d283ffd9db233e4ef2008

Aliases

arxiv: 1607.05392 · arxiv_version: 1607.05392v1 · doi: 10.48550/arxiv.1607.05392 · pith_short_12: XRFU2VYRMUQM · pith_short_16: XRFU2VYRMUQMCVTD · pith_short_8: XRFU2VYR

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/XRFU2VYRMUQMCVTDTEY5724XC4 \
  | 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: bc4b4d57116520c156639931dfeb9717282aa13e8e3d283ffd9db233e4ef2008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6bfdfcaf5201125c9b3d00af448a5683dd94edbd74e6d5eab4bdbc5945bdfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-19T03:41:53Z",
    "title_canon_sha256": "85d3d979d590e8072a3baf0afb1158f8ec3af9380ba229e9fca6c60238480901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05392",
    "kind": "arxiv",
    "version": 1
  }
}