Pith Number

pith:VSZTCOV2

pith:2016:VSZTCOV2LIYVXR3GYATNHYLYMS

not attested not anchored not stored refs pending

Software for enumerative and analytic combinatorics

Andrew MacFie

arxiv:1601.02683 v1 · 2016-01-11 · cs.MS · 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{VSZTCOV2LIYVXR3GYATNHYLYMS}

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	2026-05-18T01:23:01.738632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb3313aba5a315bc766c026d3e178649d96d40541f5c3df7685d1004a42ea4c

Aliases

arxiv: 1601.02683 · arxiv_version: 1601.02683v1 · doi: 10.48550/arxiv.1601.02683 · pith_short_12: VSZTCOV2LIYV · pith_short_16: VSZTCOV2LIYVXR3G · pith_short_8: VSZTCOV2

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/VSZTCOV2LIYVXR3GYATNHYLYMS \
  | 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: acb3313aba5a315bc766c026d3e178649d96d40541f5c3df7685d1004a42ea4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fac6fa1c391c2abac07435a913a8c44ad23ae5e738dd153a37644a008a0c3d8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2016-01-11T23:03:10Z",
    "title_canon_sha256": "475d7bd563a406263244b0f1b51628c57afec1616d4d52bc4fd017e325d01636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02683",
    "kind": "arxiv",
    "version": 1
  }
}