Pith Number

pith:3UGHSIAV

pith:2011:3UGHSIAVIZERK3TIKMJKG2EXAB

not attested not anchored not stored refs pending

Singular Masas and Measure-Multiplicity Invariant

Kunal Mukherjee

arxiv:1104.3507 v1 · 2011-04-18 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UGHSIAVIZERK3TIKMJKG2EXAB}

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	2026-05-18T04:24:04.607684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd0c7920154649156e685312a368970052111e0f998fe381643d358604449d57

Aliases

arxiv: 1104.3507 · arxiv_version: 1104.3507v1 · doi: 10.48550/arxiv.1104.3507 · pith_short_12: 3UGHSIAVIZER · pith_short_16: 3UGHSIAVIZERK3TI · pith_short_8: 3UGHSIAV

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/3UGHSIAVIZERK3TIKMJKG2EXAB \
  | 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: dd0c7920154649156e685312a368970052111e0f998fe381643d358604449d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab90a361b49dc504c36baa7b269c25a2232f598ac013e31f89ba9d446e2c541",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-04-18T15:07:52Z",
    "title_canon_sha256": "2cedd11cfd8e321efb33bd53b1df0637938f1ecb3d935790d1b8a84d37e39d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3507",
    "kind": "arxiv",
    "version": 1
  }
}