Pith Number

pith:PFSWS3J6

pith:2024:PFSWS3J6OH6ZDY55S226ALZZTA

not attested not anchored not stored refs pending

The hypergraph removal process

Felix Joos, Marcus K\"uhn

arxiv:2412.15039 v2 · 2024-12-19 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFSWS3J6OH6ZDY55S226ALZZTA}

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

A new lower bound for the Ramsey numbers $R(3,k)$

Receipt and verification

First computed	2026-07-05T11:47:16.800302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7965696d3e71fd91e3bd96b5e02f39983c501624f8c5ab80af179cb297c9c71c

Aliases

arxiv: 2412.15039 · arxiv_version: 2412.15039v2 · doi: 10.48550/arxiv.2412.15039 · pith_short_12: PFSWS3J6OH6Z · pith_short_16: PFSWS3J6OH6ZDY55 · pith_short_8: PFSWS3J6

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/PFSWS3J6OH6ZDY55S226ALZZTA \
  | 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: 7965696d3e71fd91e3bd96b5e02f39983c501624f8c5ab80af179cb297c9c71c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183120537354d36fcf6f139e5bde98e9951cc7b5ac73168ac942fa83eeb334cc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-19T16:50:52Z",
    "title_canon_sha256": "b59d7b0fedf8ccdb9b9dbd22cbf3835a5b4d613332f3ead5243155542deb86d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15039",
    "kind": "arxiv",
    "version": 2
  }
}