Pith Number

pith:5I4LUQWV

pith:2015:5I4LUQWV5Q3EAN4QQPCFI2XUIL

not attested not anchored not stored refs pending

Committee ranking

Tobias Holck Colding, William P. Minicozzi II

arxiv:1508.04013 v1 · 2015-08-17 · math.AP · math.CO · 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{5I4LUQWV5Q3EAN4QQPCFI2XUIL}

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	2026-05-18T01:35:13.029907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea38ba42d5ec3640379083c4546af442e210ab89d3046864dbb5985376d67d67

Aliases

arxiv: 1508.04013 · arxiv_version: 1508.04013v1 · doi: 10.48550/arxiv.1508.04013 · pith_short_12: 5I4LUQWV5Q3E · pith_short_16: 5I4LUQWV5Q3EAN4Q · pith_short_8: 5I4LUQWV

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/5I4LUQWV5Q3EAN4QQPCFI2XUIL \
  | 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: ea38ba42d5ec3640379083c4546af442e210ab89d3046864dbb5985376d67d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1292cd18c9bf016a53620db65dd4c3175bd07508b89117e514e047799d775262",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-17T13:14:13Z",
    "title_canon_sha256": "225f298d26306e23f881ed53ec4ad9489ce835d49029ce92223f4d54186c5b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04013",
    "kind": "arxiv",
    "version": 1
  }
}