Pith Number

pith:FV3GDSIW

pith:2006:FV3GDSIWER45SUHBSOVWJNRRM5

not attested not anchored not stored refs pending

Random Graph-Homomorphisms and Logarithmic Degree

Amir Yehudayoff, Ariel Yadin, Itai Benjamini

arxiv:math/0611416 v2 · 2006-11-14 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV3GDSIWER45SUHBSOVWJNRRM5}

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	2026-07-04T15:02:21.216244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7661c9162479d950e193ab64b63167787b26205f9be03453ee20170d2e3327

Aliases

arxiv: math/0611416 · arxiv_version: math/0611416v2 · doi: 10.48550/arxiv.math/0611416 · pith_short_12: FV3GDSIWER45 · pith_short_16: FV3GDSIWER45SUHB · pith_short_8: FV3GDSIW

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/FV3GDSIWER45SUHBSOVWJNRRM5 \
  | 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: 2d7661c9162479d950e193ab64b63167787b26205f9be03453ee20170d2e3327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152156ddd8fdb1723b672e58b8216a5eab1cd7c2b1ba824627bf7bbb64c10b61",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-11-14T13:46:48Z",
    "title_canon_sha256": "9f6bd9c744458a92303a650e2346bc417ff01fb7ff46a37ca81d970f41ef43ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611416",
    "kind": "arxiv",
    "version": 2
  }
}