Pith Number

pith:S4BZ3ROI

pith:2012:S4BZ3ROIWEIE4BPBTOEZQTS4MJ

not attested not anchored not stored refs pending

Measure Preserving Words are Primitive

Doron Puder, Ori Parzanchevski

arxiv:1202.3269 v3 · 2012-02-15 · math.GR · 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{S4BZ3ROIWEIE4BPBTOEZQTS4MJ}

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	2026-05-18T02:39:32.420815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97039dc5c8b1104e05e19b89984e5c624dcab0c0097c512f9464d6e611858c2d

Aliases

arxiv: 1202.3269 · arxiv_version: 1202.3269v3 · doi: 10.48550/arxiv.1202.3269 · pith_short_12: S4BZ3ROIWEIE · pith_short_16: S4BZ3ROIWEIE4BPB · pith_short_8: S4BZ3ROI

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/S4BZ3ROIWEIE4BPBTOEZQTS4MJ \
  | 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: 97039dc5c8b1104e05e19b89984e5c624dcab0c0097c512f9464d6e611858c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639e03aaa294e40383981e6fdaf662e63d94593ee3a9aea01df5b1f4c2c27327",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-15T10:49:54Z",
    "title_canon_sha256": "ed1ec6fb03b52ce828f8a64c408d178b8688b8420454b1f21f22b2901f42ee27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3269",
    "kind": "arxiv",
    "version": 3
  }
}