Pith Number

pith:OZBNGFKG

pith:2016:OZBNGFKGOZ7LHKK4QPXS2CSWLA

not attested not anchored not stored refs pending

Euler characteristic reciprocity for chromatic, flow and order polynomials

Masahiko Yoshinaga, Takahiro Hasebe, Toshinori Miyatani

arxiv:1601.00254 v2 · 2016-01-03 · math.CO · math.AG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZBNGFKGOZ7LHKK4QPXS2CSWLA}

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	2026-05-18T00:05:46.476415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7642d31546767eb3a95c83ef2d0a565803ebd15f34eee6e2444d99a6dd4caa34

Aliases

arxiv: 1601.00254 · arxiv_version: 1601.00254v2 · doi: 10.48550/arxiv.1601.00254 · pith_short_12: OZBNGFKGOZ7L · pith_short_16: OZBNGFKGOZ7LHKK4 · pith_short_8: OZBNGFKG

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/OZBNGFKGOZ7LHKK4QPXS2CSWLA \
  | 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: 7642d31546767eb3a95c83ef2d0a565803ebd15f34eee6e2444d99a6dd4caa34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e4f03cab68fafeca4925c841d60cd81cdd28de4b55860c6759b0815a255d65c",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-03T07:46:45Z",
    "title_canon_sha256": "3124028f9c567ba1f3a0925ea065e23d0129c5441983e62082f239d6933c01c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00254",
    "kind": "arxiv",
    "version": 2
  }
}