Pith Number

pith:B6YJDAU6

pith:2013:B6YJDAU6KY7RP3OTSDPNCU2PQW

not attested not anchored not stored refs pending

On the location of roots of graph polynomials

Elena V. Ravve, Johann A. Makowsky, Nicolas K. Blanchard

arxiv:1309.1941 v3 · 2013-09-08 · 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{B6YJDAU6KY7RP3OTSDPNCU2PQW}

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	2026-05-18T03:11:12.530725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb091829e563f17edd390ded1534f8581cff92de8bc6e8c4b351a20a128b151

Aliases

arxiv: 1309.1941 · arxiv_version: 1309.1941v3 · doi: 10.48550/arxiv.1309.1941 · pith_short_12: B6YJDAU6KY7R · pith_short_16: B6YJDAU6KY7RP3OT · pith_short_8: B6YJDAU6

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/B6YJDAU6KY7RP3OTSDPNCU2PQW \
  | 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: 0fb091829e563f17edd390ded1534f8581cff92de8bc6e8c4b351a20a128b151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b5a24bb2aad64ad271f0dbb76d87fc98e797ec2385e7b0c5191a6c825be604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-08T08:55:14Z",
    "title_canon_sha256": "c94ee6bbefa8a084a0131f347b3496871b2cfe21165623004dd224c348d7ec14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1941",
    "kind": "arxiv",
    "version": 3
  }
}