Pith Number

pith:U2EIVTBU

pith:2013:U2EIVTBUCCB3L3IKFRGZQCJOVK

not attested not anchored not stored refs pending

Factorization identities for reflected processes, with applications

Brian H. Fralix, Johan S.H. van Leeuwaarden, Onno J. Boxma

arxiv:1302.2508 v1 · 2013-02-11 · 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{U2EIVTBUCCB3L3IKFRGZQCJOVK}

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	2026-05-18T03:34:00.947441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6888acc341083b5ed0a2c4d98092eaa9fc7fa166539c3d61f6426d12f347c34

Aliases

arxiv: 1302.2508 · arxiv_version: 1302.2508v1 · doi: 10.48550/arxiv.1302.2508 · pith_short_12: U2EIVTBUCCB3 · pith_short_16: U2EIVTBUCCB3L3IK · pith_short_8: U2EIVTBU

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/U2EIVTBUCCB3L3IKFRGZQCJOVK \
  | 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: a6888acc341083b5ed0a2c4d98092eaa9fc7fa166539c3d61f6426d12f347c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9485b62b3e4d8234bc127d657c5bda4f7b423642e02147c3dc83e439738605c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-11T15:43:38Z",
    "title_canon_sha256": "bccf21ef810d12315b758377fa107ea6ea620666e8f70d4fba3622b42ace14b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2508",
    "kind": "arxiv",
    "version": 1
  }
}