Pith Number

pith:PNIXO6CR

pith:2013:PNIXO6CRMP22SZGVDLR5OSVCQ5

not attested not anchored not stored refs pending

On the positive and negative inertia of weighted graphs

Feifei Song, Shuchao Li

arxiv:1307.5110 v1 · 2013-07-19 · 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{PNIXO6CRMP22SZGVDLR5OSVCQ5}

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	2026-05-18T03:18:05.665272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b5177785163f5a964d51ae3d74aa2874efbba43b4105c2220cb9fd4556cbf2b

Aliases

arxiv: 1307.5110 · arxiv_version: 1307.5110v1 · doi: 10.48550/arxiv.1307.5110 · pith_short_12: PNIXO6CRMP22 · pith_short_16: PNIXO6CRMP22SZGV · pith_short_8: PNIXO6CR

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/PNIXO6CRMP22SZGVDLR5OSVCQ5 \
  | 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: 7b5177785163f5a964d51ae3d74aa2874efbba43b4105c2220cb9fd4556cbf2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bac109f314cc5b1c0737493a320eccacd6ed0ca841488cc82f2a686d283f1d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-19T01:10:42Z",
    "title_canon_sha256": "fdf2bb636445e0e7198472dec31e1dc0e9b88ca3b220814af6fd40b72974c115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5110",
    "kind": "arxiv",
    "version": 1
  }
}