Pith Number

pith:5HJPQCUH

pith:2013:5HJPQCUHZFERAJFJNNJ3CEZCPD

not attested not anchored not stored refs pending

Singularity analysis via the iterated kernel method

Marni Mishna, Stephen Melczer

arxiv:1303.3236 v3 · 2013-03-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HJPQCUHZFERAJFJNNJ3CEZCPD}

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	2026-05-17T23:53:35.715014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d2f80a87c9491024a96b53b1132278d98365f2ba581a13497e4a8382710891

Aliases

arxiv: 1303.3236 · arxiv_version: 1303.3236v3 · doi: 10.48550/arxiv.1303.3236 · pith_short_12: 5HJPQCUHZFER · pith_short_16: 5HJPQCUHZFERAJFJ · pith_short_8: 5HJPQCUH

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/5HJPQCUHZFERAJFJNNJ3CEZCPD \
  | 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: e9d2f80a87c9491024a96b53b1132278d98365f2ba581a13497e4a8382710891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05ecbf38cd2ee8c8faa5f792cfa57aaf77d0e56e921652dd46b9f264294cb8b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-13T17:58:01Z",
    "title_canon_sha256": "c261f7c3ecd4d2700f078265385bbea8225b6c76cc2a894c5797def3176c84ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3236",
    "kind": "arxiv",
    "version": 3
  }
}