Pith Number

pith:4P3IJ3QF

pith:2013:4P3IJ3QFIGY54VBAZXDHWK4RNS

not attested not anchored not stored refs pending

Bounds for left and right window cutoffs

Bernard Ycart (LJK), Javiera Barrera (CMM)

arxiv:1310.0726 v1 · 2013-10-02 · 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{4P3IJ3QFIGY54VBAZXDHWK4RNS}

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	2026-05-18T03:11:34.186646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f684ee0541b1de5420cdc67b2b916c92fa505d1c6534d3eb82dc345fb1334e

Aliases

arxiv: 1310.0726 · arxiv_version: 1310.0726v1 · doi: 10.48550/arxiv.1310.0726 · pith_short_12: 4P3IJ3QFIGY5 · pith_short_16: 4P3IJ3QFIGY54VBA · pith_short_8: 4P3IJ3QF

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/4P3IJ3QFIGY54VBAZXDHWK4RNS \
  | 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: e3f684ee0541b1de5420cdc67b2b916c92fa505d1c6534d3eb82dc345fb1334e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40fe08e05c073fd0cbcac1f13d22250039738e5862cb80d2864a783b1946b6ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-02T15:02:13Z",
    "title_canon_sha256": "f7f3f09fefd9da23523be778878be2fea7f8025880b6aa89b317151555a605ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0726",
    "kind": "arxiv",
    "version": 1
  }
}