Pith Number

pith:QQDIZMUI

pith:2015:QQDIZMUITCDX4GQEZKUKW2FAXQ

not attested not anchored not stored refs pending

Another proof of Harer-Zagier formula

Boris Pittel

arxiv:1503.05598 v1 · 2015-03-18 · 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{QQDIZMUITCDX4GQEZKUKW2FAXQ}

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	2026-05-18T02:20:58.616277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84068cb28898877e1a04caa8ab68a0bc1a17e9fad2e1a74ecde9adc11f5f28ee

Aliases

arxiv: 1503.05598 · arxiv_version: 1503.05598v1 · doi: 10.48550/arxiv.1503.05598 · pith_short_12: QQDIZMUITCDX · pith_short_16: QQDIZMUITCDX4GQE · pith_short_8: QQDIZMUI

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/QQDIZMUITCDX4GQEZKUKW2FAXQ \
  | 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: 84068cb28898877e1a04caa8ab68a0bc1a17e9fad2e1a74ecde9adc11f5f28ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9135309a45df9e06d7b52064cbe5152909a1a874d737537d051937655f84f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-18T21:32:33Z",
    "title_canon_sha256": "3cb228c9a93d61ae7b3a0fa2f5db7d4b9ef52c01d7ee33e7c976e726f7773b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05598",
    "kind": "arxiv",
    "version": 1
  }
}