Pith Number

pith:V3VUK5IU

pith:2026:V3VUK5IUZSLTTRTQ2DHS32Y4IM

not attested not anchored not stored refs pending

On the number of factorable induced subgraphs

Bin Wang, Jie Han, Jingwen Zhao

arxiv:2607.27870 v1 · 2026-07-30 · 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{V3VUK5IUZSLTTRTQ2DHS32Y4IM}

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	2026-07-31T01:34:31.680931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

aeeb457514cc9739c670d0cf2deb1c431bed3caa9612e546c714477f5d2a1f7e

Aliases

arxiv: 2607.27870 · arxiv_version: 2607.27870v1 · doi: 10.48550/arxiv.2607.27870 · pith_short_12: V3VUK5IUZSLT · pith_short_16: V3VUK5IUZSLTTRTQ · pith_short_8: V3VUK5IU

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/V3VUK5IUZSLTTRTQ2DHS32Y4IM \
  | 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: aeeb457514cc9739c670d0cf2deb1c431bed3caa9612e546c714477f5d2a1f7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c89af6566522414e9e3908bf9e97e85f14d353f43f2797b5b81a27f7175dca4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-30T08:44:50Z",
    "title_canon_sha256": "e110356eeb648d4597494b0a4c197978399b63bd935ff47a6a6b429ecc312f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27870",
    "kind": "arxiv",
    "version": 1
  }
}