Pith Number

pith:BTFMJ5OR

pith:1998:BTFMJ5ORE4LJYIYY5AE7MUY56T

not attested not anchored not stored refs pending

Cyclic operads and homology of graph complexes

Martin Markl

arxiv:math/9801095 v1 · 1998-01-21 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTFMJ5ORE4LJYIYY5AE7MUY56T}

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	2026-05-18T01:05:34.411287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccac4f5d127169c2318e809f6531df4d891ab903d0dd46ce186e650c58abd63

Aliases

arxiv: math/9801095 · arxiv_version: math/9801095v1 · doi: 10.48550/arxiv.math/9801095 · pith_short_12: BTFMJ5ORE4LJ · pith_short_16: BTFMJ5ORE4LJYIYY · pith_short_8: BTFMJ5OR

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/BTFMJ5ORE4LJYIYY5AE7MUY56T \
  | 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: 0ccac4f5d127169c2318e809f6531df4d891ab903d0dd46ce186e650c58abd63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30260b2f50b80b4856e2b6173406f4b4088b4f2eaf7dc85abce14014e779cc59",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1998-01-21T10:46:49Z",
    "title_canon_sha256": "8a5701a31dc7482f248a60bce5f18c25864807ef6c39259a3dbe58fc0eecd7b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9801095",
    "kind": "arxiv",
    "version": 1
  }
}