Pith Number

pith:4GTHMA7B

pith:2020:4GTHMA7BTVS2F6ENGSJTB5QV2B

not attested not anchored not stored refs pending

Extremal even-cycle-free subgraphs of the complete transposition graphs

Benjian Lv, Kaishun Wang, Mengyu Cao, Sanming Zhou

arxiv:2009.06840 v1 · 2020-09-15 · 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{4GTHMA7BTVS2F6ENGSJTB5QV2B}

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	2026-07-05T01:35:13.806492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a67603e19d65a2f88d349330f615d04d6ea2ddce83e2cab025ae96ee25c2e0

Aliases

arxiv: 2009.06840 · arxiv_version: 2009.06840v1 · doi: 10.48550/arxiv.2009.06840 · pith_short_12: 4GTHMA7BTVS2 · pith_short_16: 4GTHMA7BTVS2F6EN · pith_short_8: 4GTHMA7B

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/4GTHMA7BTVS2F6ENGSJTB5QV2B \
  | 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: e1a67603e19d65a2f88d349330f615d04d6ea2ddce83e2cab025ae96ee25c2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de37a048392c71ba41904de0cd154599d136bbefb5a1b30645dcbc50293fb910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-15T02:36:01Z",
    "title_canon_sha256": "092ca1039ba5c0a93ef6ea06a0d8a939a1e5cb045363a878ac06dc77384e8e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.06840",
    "kind": "arxiv",
    "version": 1
  }
}