Pith Number

pith:WSL4ZGSY

pith:2021:WSL4ZGSYFRN2TKKIF5ICX2SMRF

not attested not anchored not stored refs pending

Extremal problems of Erd\H{o}s, Faudree, Schelp and Simonovits on paths and cycles

Binlong Li, Bo Ning, Jie Ma

arxiv:2102.04367 v3 · 2021-02-08 · 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{WSL4ZGSYFRN2TKKIF5ICX2SMRF}

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	2026-07-05T04:40:43.805627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b497cc9a582c5ba9a9482f502bea4c894f06da3179288fe6a018198218790496

Aliases

arxiv: 2102.04367 · arxiv_version: 2102.04367v3 · doi: 10.48550/arxiv.2102.04367 · pith_short_12: WSL4ZGSYFRN2 · pith_short_16: WSL4ZGSYFRN2TKKI · pith_short_8: WSL4ZGSY

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/WSL4ZGSYFRN2TKKIF5ICX2SMRF \
  | 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: b497cc9a582c5ba9a9482f502bea4c894f06da3179288fe6a018198218790496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fe29676401ed71f610696214cf75ae51d410d2845df6f53ce95f678439fc071",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-02-08T17:20:24Z",
    "title_canon_sha256": "8f4aff774c2a0665d442de0029ec64564e3fe38fddd922514310e609bfa3ef5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.04367",
    "kind": "arxiv",
    "version": 3
  }
}