Pith Number

pith:V27ST2Y6

pith:2017:V27ST2Y64XV2BCFPM2BXY6SFQP

not attested not anchored not stored refs pending

Average degrees of edge-chromatic critical graphs

Fuliang Lu, Guantao Chen, Huiqing Liu, Suyun Jiang, Yan Cao

arxiv:1708.01279 v1 · 2017-08-03 · 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{V27ST2Y64XV2BCFPM2BXY6SFQP}

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	2026-05-18T00:38:39.460549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aebf29eb1ee5eba088af66837c7a4583cdc6b04c752091bebce07dd930d656c1

Aliases

arxiv: 1708.01279 · arxiv_version: 1708.01279v1 · doi: 10.48550/arxiv.1708.01279 · pith_short_12: V27ST2Y64XV2 · pith_short_16: V27ST2Y64XV2BCFP · pith_short_8: V27ST2Y6

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/V27ST2Y64XV2BCFPM2BXY6SFQP \
  | 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: aebf29eb1ee5eba088af66837c7a4583cdc6b04c752091bebce07dd930d656c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea8f0ac230e2fd7d49fe92bbedf3ec5b820cc8945bb7548fb27e4b0e647e973",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-03T18:48:16Z",
    "title_canon_sha256": "55030c9548b34f859ee79730f7aab5a287cf407216e4f61995600fa9be9fd4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01279",
    "kind": "arxiv",
    "version": 1
  }
}