Pith Number

pith:73XLAR4V

pith:2013:73XLAR4VDXKYVL2VP5VOAF52TS

not attested not anchored not stored refs pending

Harmonic vectors and matrix tree theorems

Siddhartha Sahi

arxiv:1309.4047 v1 · 2013-09-16 · 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{73XLAR4VDXKYVL2VP5VOAF52TS}

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	2026-05-18T03:13:11.401902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feeeb047951dd58aaf557f6ae017ba9cad4d8f68585f56bcec88496aadc9b7fb

Aliases

arxiv: 1309.4047 · arxiv_version: 1309.4047v1 · doi: 10.48550/arxiv.1309.4047 · pith_short_12: 73XLAR4VDXKY · pith_short_16: 73XLAR4VDXKYVL2V · pith_short_8: 73XLAR4V

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/73XLAR4VDXKYVL2VP5VOAF52TS \
  | 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: feeeb047951dd58aaf557f6ae017ba9cad4d8f68585f56bcec88496aadc9b7fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f607ddb66fcb28bddda2849a71ca1c742bf45b6d7729b87d390fcab8482487e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-16T17:37:29Z",
    "title_canon_sha256": "7babd7299ea42cd5553b09bfb31510e2188983eb89a9e9730aaa0ccfb0282d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4047",
    "kind": "arxiv",
    "version": 1
  }
}