Pith Number

pith:U5XVOATM

pith:2014:U5XVOATMUH72KFXQ3DSUQPOO3M

not attested not anchored not stored refs pending

Telescoping Sums, Permutations, and First Occurrence Distributions

Anant Godbole, Jie Hao

arxiv:1403.7665 v1 · 2014-03-29 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5XVOATMUH72KFXQ3DSUQPOO3M}

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	2026-05-18T02:55:12.736613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76f57026ca1ffa516f0d8e5483dcedb3b37671da2a4be46b231980d2f2a9ffc

Aliases

arxiv: 1403.7665 · arxiv_version: 1403.7665v1 · doi: 10.48550/arxiv.1403.7665 · pith_short_12: U5XVOATMUH72 · pith_short_16: U5XVOATMUH72KFXQ · pith_short_8: U5XVOATM

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/U5XVOATMUH72KFXQ3DSUQPOO3M \
  | 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: a76f57026ca1ffa516f0d8e5483dcedb3b37671da2a4be46b231980d2f2a9ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918f904d473162c474af6af2f466873c6f2f182e30d113a63e511b1b9d054ec5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2014-03-29T20:08:32Z",
    "title_canon_sha256": "fa61610b92bd9b606dfd7944dc460d062d29fee6035f33c27adeb3f83526eb92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7665",
    "kind": "arxiv",
    "version": 1
  }
}