Pith Number

pith:OTAOUAP4

pith:2013:OTAOUAP4WHRNOSNXS6TIQMPYND

not attested not anchored not stored refs pending

Forward clusters for degenerate random environments

Mark Holmes, Thomas S. Salisbury

arxiv:1307.2787 v1 · 2013-07-10 · 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{OTAOUAP4WHRNOSNXS6TIQMPYND}

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	2026-05-18T01:09:38.347988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74c0ea01fcb1e2d749b797a68831f868fcf885fab18062b123d02767faa75ace

Aliases

arxiv: 1307.2787 · arxiv_version: 1307.2787v1 · doi: 10.48550/arxiv.1307.2787 · pith_short_12: OTAOUAP4WHRN · pith_short_16: OTAOUAP4WHRNOSNX · pith_short_8: OTAOUAP4

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/OTAOUAP4WHRNOSNXS6TIQMPYND \
  | 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: 74c0ea01fcb1e2d749b797a68831f868fcf885fab18062b123d02767faa75ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f3bcd5691fc8672b19a1f0c0f391592229bc8bc59d14cec8da45e83a5bfd7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-10T13:30:10Z",
    "title_canon_sha256": "f65856d4d18fa03caa71f1d365433bf6e09843547d2e5e155c59a2d781a39c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2787",
    "kind": "arxiv",
    "version": 1
  }
}