Pith Number

pith:OMQO3FU2

pith:2010:OMQO3FU22RLC52LZOA6522SJRV

not attested not anchored not stored refs pending

Discrete primitive-stable representations with large rank surplus

Yair Minsky, Yoav Moriah

arxiv:1009.6212 v1 · 2010-09-30 · math.GT · math.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{OMQO3FU22RLC52LZOA6522SJRV}

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	2026-05-18T02:38:18.382938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7320ed969ad4562ee979703ddd6a498d69e436af436030e10945e10d5e4f0518

Aliases

arxiv: 1009.6212 · arxiv_version: 1009.6212v1 · doi: 10.48550/arxiv.1009.6212 · pith_short_12: OMQO3FU22RLC · pith_short_16: OMQO3FU22RLC52LZ · pith_short_8: OMQO3FU2

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/OMQO3FU22RLC52LZOA6522SJRV \
  | 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: 7320ed969ad4562ee979703ddd6a498d69e436af436030e10945e10d5e4f0518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "968f7058799dc62e1ac4dea4c28f898c9735f0e80512eddf635feafd13bb947a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-30T18:16:15Z",
    "title_canon_sha256": "b90ee659f09bde0ee137a5e729f738586054bcc794bce39970217f9cf35aec2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6212",
    "kind": "arxiv",
    "version": 1
  }
}