Pith Number

pith:TR5HEYRM

pith:2007:TR5HEYRMKDLQRYO57TLZLDC5DK

not attested not anchored not stored refs pending

Quasirandom groups

W. T. Gowers

arxiv:0710.3877 v1 · 2007-10-20 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TR5HEYRMKDLQRYO57TLZLDC5DK}

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 General Framework for Low Soundness Homomorphism Testing

Receipt and verification

First computed	2026-07-04T15:05:04.726219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c7a72622c50d708e1ddfcd7958c5d1ab3126452b822b168f3b6fc6754f47b0a

Aliases

arxiv: 0710.3877 · arxiv_version: 0710.3877v1 · doi: 10.48550/arxiv.0710.3877 · pith_short_12: TR5HEYRMKDLQ · pith_short_16: TR5HEYRMKDLQRYO5 · pith_short_8: TR5HEYRM

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/TR5HEYRMKDLQRYO57TLZLDC5DK \
  | 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: 9c7a72622c50d708e1ddfcd7958c5d1ab3126452b822b168f3b6fc6754f47b0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5970cf09343569ff16d4ea8fd0a946e8f13ed4b73d4320c93c5ee1614e884256",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-10-20T21:47:51Z",
    "title_canon_sha256": "d7a0dd9019304cbd9d19b0e521c766471bf7f5ab799d9f804bdec07d83e6cd2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3877",
    "kind": "arxiv",
    "version": 1
  }
}