Pith Number

pith:PAKKYTWR

pith:2012:PAKKYTWR5MPSTXCWV2TQEYFQQW

not attested not anchored not stored refs pending

Effective Diffusions with Intertwined Structures

Xue-Mei Li

arxiv:1204.3250 v1 · 2012-04-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAKKYTWR5MPSTXCWV2TQEYFQQW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:57:52.068570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7814ac4ed1eb1f29dc56aea70260b08585122554737b68c57d886bd69bbade11

Aliases

arxiv: 1204.3250 · arxiv_version: 1204.3250v1 · doi: 10.48550/arxiv.1204.3250 · pith_short_12: PAKKYTWR5MPS · pith_short_16: PAKKYTWR5MPSTXCW · pith_short_8: PAKKYTWR

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/PAKKYTWR5MPSTXCWV2TQEYFQQW \
  | 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: 7814ac4ed1eb1f29dc56aea70260b08585122554737b68c57d886bd69bbade11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c004fbd93234b14c3037f5e4fcb36b3e82e6d3b13f357f409d750567db482b23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-15T10:15:32Z",
    "title_canon_sha256": "ac265a3597d203ebe60317189fb89973778e0308e5dc67c46185acce513f41f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3250",
    "kind": "arxiv",
    "version": 1
  }
}