Pith Number

pith:3UUMMGL2

pith:2012:3UUMMGL2OUSJMR4RVJSZ33F7UZ

not attested not anchored not stored refs pending

The blockage problem

A. Troiani, E. R. Speer, J. L. Lebowitz, O. Costin

arxiv:1207.6555 v1 · 2012-07-27 · math-ph · 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{3UUMMGL2OUSJMR4RVJSZ33F7UZ}

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	2026-05-18T03:49:59.086990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd28c6197a7524964791aa659decbfa64c6dd1acf884463b14dd01cda3e3d46f

Aliases

arxiv: 1207.6555 · arxiv_version: 1207.6555v1 · doi: 10.48550/arxiv.1207.6555 · pith_short_12: 3UUMMGL2OUSJ · pith_short_16: 3UUMMGL2OUSJMR4R · pith_short_8: 3UUMMGL2

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/3UUMMGL2OUSJMR4RVJSZ33F7UZ \
  | 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: dd28c6197a7524964791aa659decbfa64c6dd1acf884463b14dd01cda3e3d46f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9ef93fdc71d987d73cc69af353a5b9298b53c007b0196c84dd9229c1b7807c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-27T14:38:29Z",
    "title_canon_sha256": "5902cbb38e6f72bcd1ba13b06475dd0b926fff97d7853235017265c76d7a517c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6555",
    "kind": "arxiv",
    "version": 1
  }
}