Pith Number

pith:LMV6R7XR

pith:2012:LMV6R7XRMUQUS42ZDB7DF7PHJK

not attested not anchored not stored refs pending

Relative Tutte polynomials of tensor products of colored graphs

G\'abor Hetyei, Yuanan Diao

arxiv:1202.4215 v1 · 2012-02-20 · 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{LMV6R7XRMUQUS42ZDB7DF7PHJK}

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	2026-05-18T02:50:13.714941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b2be8fef16521497359187e32fde74ab66d56a0758b7cf97add38609e78fc2f

Aliases

arxiv: 1202.4215 · arxiv_version: 1202.4215v1 · doi: 10.48550/arxiv.1202.4215 · pith_short_12: LMV6R7XRMUQU · pith_short_16: LMV6R7XRMUQUS42Z · pith_short_8: LMV6R7XR

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/LMV6R7XRMUQUS42ZDB7DF7PHJK \
  | 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: 5b2be8fef16521497359187e32fde74ab66d56a0758b7cf97add38609e78fc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f21437b25996b8ecc506dd78b5407c849cc4ccb6b9ed3e7c0acd043690de829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-20T03:36:02Z",
    "title_canon_sha256": "1132e70bac0318206d6de5a035dc51dc3b505081a9003b762ad8eb0096cc85c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4215",
    "kind": "arxiv",
    "version": 1
  }
}