Pith Number

pith:3BEXSFDJ

pith:2023:3BEXSFDJWBLYKCV4CFUVWK3ILS

not attested not anchored not stored refs pending

Extremal problems for a matching and any other graph

Xiutao Zhu, Yaojun Chen

arxiv:2307.11983 v1 · 2023-07-22 · 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{3BEXSFDJWBLYKCV4CFUVWK3ILS}

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.

Cited by

1 paper in Pith

Tur\'an numbers of cycles plus a general graph

Receipt and verification

First computed	2026-07-05T06:33:37.118534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d849791469b057850abc11695b2b685ca0a1fb2326a8ca6f9ad44e6ff066d406

Aliases

arxiv: 2307.11983 · arxiv_version: 2307.11983v1 · doi: 10.48550/arxiv.2307.11983 · pith_short_12: 3BEXSFDJWBLY · pith_short_16: 3BEXSFDJWBLYKCV4 · pith_short_8: 3BEXSFDJ

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/3BEXSFDJWBLYKCV4CFUVWK3ILS \
  | 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: d849791469b057850abc11695b2b685ca0a1fb2326a8ca6f9ad44e6ff066d406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7462f55908696c748576c516cdccdf3003ac9a37365a0d37781dcdc3a27d41",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-22T05:23:57Z",
    "title_canon_sha256": "4fbaa9a917765b51bdd2d1ed66d8f970518f4e8ef3c5fe027f6e580ebeb7c763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.11983",
    "kind": "arxiv",
    "version": 1
  }
}