Pith Number

pith:CRC7R72D

pith:2004:CRC7R72DSATHSOAGVIMIDV4LRF

not attested not anchored not stored refs pending

On metric Ramsey-type phenomena

Assaf Naor, Manor Mendel, Nathan Linial, Yair Bartal

arxiv:math/0406353 v2 · 2004-06-17 · math.MG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRC7R72DSATHSOAGVIMIDV4LRF}

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	2026-05-18T03:40:49.975105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1445f8ff439026793806aa1881d78b89436a0e5eb5ca1d41491db8e17ac09c16

Aliases

arxiv: math/0406353 · arxiv_version: math/0406353v2 · doi: 10.48550/arxiv.math/0406353 · pith_short_12: CRC7R72DSATH · pith_short_16: CRC7R72DSATHSOAG · pith_short_8: CRC7R72D

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/CRC7R72DSATHSOAGVIMIDV4LRF \
  | 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: 1445f8ff439026793806aa1881d78b89436a0e5eb5ca1d41491db8e17ac09c16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bdb9cf7f5832968126116406c19e4b1764bd92968ce73e0e45c1219452192ea",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2004-06-17T20:01:40Z",
    "title_canon_sha256": "c20e2891950c32ece08b620a62e52ef2e91ac729b404fa73969398f01102e1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406353",
    "kind": "arxiv",
    "version": 2
  }
}