Pith Number

pith:4ZGC5IRT

pith:2014:4ZGC5IRT2ODNKYVXWJEU5FMVN4

not attested not anchored not stored refs pending

The generating function for total displacement

Mathieu Guay-Paquet, T. Kyle Petersen

arxiv:1404.4674 v1 · 2014-04-18 · 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{4ZGC5IRT2ODNKYVXWJEU5FMVN4}

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	2026-05-18T02:53:55.475809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64c2ea233d386d562b7b2494e95956f2589eabbb966729f258858e929706d22

Aliases

arxiv: 1404.4674 · arxiv_version: 1404.4674v1 · doi: 10.48550/arxiv.1404.4674 · pith_short_12: 4ZGC5IRT2ODN · pith_short_16: 4ZGC5IRT2ODNKYVX · pith_short_8: 4ZGC5IRT

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/4ZGC5IRT2ODNKYVXWJEU5FMVN4 \
  | 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: e64c2ea233d386d562b7b2494e95956f2589eabbb966729f258858e929706d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81aa27792cbc67994103ed34347f0521aab20948032693872099fb517685d178",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-18T00:43:49Z",
    "title_canon_sha256": "66fd29c3d3957148053cf9d0feea5c1a3a537df8be5d9fe93f29483e01a66b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4674",
    "kind": "arxiv",
    "version": 1
  }
}