Pith Number

pith:NT34KM2W

pith:2016:NT34KM2WAGE5UJOSKLQ3DOD5HN

not attested not anchored not stored refs pending

The Avalanche Polynomial of a Graph

Demara Austin, Lauren Keough, Luis David Garc\'ia Puente, Megan Chambers, Rebecca Funke

arxiv:1605.02713 v2 · 2016-05-09 · 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{NT34KM2WAGE5UJOSKLQ3DOD5HN}

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	2026-05-18T01:14:59.819247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf7c533560189da25d252e1b1b87d3b70ab871efd53f85c8f35db9db05b5db6

Aliases

arxiv: 1605.02713 · arxiv_version: 1605.02713v2 · doi: 10.48550/arxiv.1605.02713 · pith_short_12: NT34KM2WAGE5 · pith_short_16: NT34KM2WAGE5UJOS · pith_short_8: NT34KM2W

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/NT34KM2WAGE5UJOSKLQ3DOD5HN \
  | 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: 6cf7c533560189da25d252e1b1b87d3b70ab871efd53f85c8f35db9db05b5db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bca4322b6eb7123cbb48fd7a7e7e20ac0918e5d8fd11a04bf5e7e58dcfa44f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-09T19:50:43Z",
    "title_canon_sha256": "ee4ee0a5fdd8207dbb4c5d0e3599d19c79e141fb0e5266cd7acefc31654423c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02713",
    "kind": "arxiv",
    "version": 2
  }
}