Pith Number

pith:HN73Z5Q3

pith:2014:HN73Z5Q3UCU4IXIMT43GT7YUFI

not attested not anchored not stored refs pending

Heaps and Two Exponential Structures

Emma Yu Jin

arxiv:1407.0242 v3 · 2014-07-01 · 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{HN73Z5Q3UCU4IXIMT43GT7YUFI}

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	2026-05-18T01:24:38.651640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b7fbcf61ba0a9c45d0c9f3669ff142a1e0911da40c45335c69255ec7fdc827f

Aliases

arxiv: 1407.0242 · arxiv_version: 1407.0242v3 · doi: 10.48550/arxiv.1407.0242 · pith_short_12: HN73Z5Q3UCU4 · pith_short_16: HN73Z5Q3UCU4IXIM · pith_short_8: HN73Z5Q3

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/HN73Z5Q3UCU4IXIMT43GT7YUFI \
  | 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: 3b7fbcf61ba0a9c45d0c9f3669ff142a1e0911da40c45335c69255ec7fdc827f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2cd662d9260eacfda33494c855a60ef49677d9d4812ae35e2afb70327bb44cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-01T13:55:38Z",
    "title_canon_sha256": "6cc0df972d40e9b66dee45e4f3c19e7a8c512e29498b3258a22d8a788ef7c4ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0242",
    "kind": "arxiv",
    "version": 3
  }
}