Pith Number

pith:NRQE4DVA

pith:2005:NRQE4DVAEERSAGXG7BJZVQGSTK

not attested not anchored not stored refs pending

Matrads, Biassociahedra and A_{\infty}-Bialgebras

Ronald Umble, Samson Saneblidze

arxiv:math/0508017 v9 · 2005-07-31 · 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{NRQE4DVAEERSAGXG7BJZVQGSTK}

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	2026-05-18T04:34:01.596575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c604e0ea02123201ae6f8539ac0d29a93c2b5203e61f14c212166b0706a73bf

Aliases

arxiv: math/0508017 · arxiv_version: math/0508017v9 · doi: 10.48550/arxiv.math/0508017 · pith_short_12: NRQE4DVAEERS · pith_short_16: NRQE4DVAEERSAGXG · pith_short_8: NRQE4DVA

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/NRQE4DVAEERSAGXG7BJZVQGSTK \
  | 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: 6c604e0ea02123201ae6f8539ac0d29a93c2b5203e61f14c212166b0706a73bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca3f8dc40ff7460ce2e0293c8af27bae08569efc0b428d2e33ce72d8d2da5aa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2005-07-31T00:51:17Z",
    "title_canon_sha256": "8f330970223d08455ec17424017843b7bf8b66ea8cc2e09d5a23d94bd73d6595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508017",
    "kind": "arxiv",
    "version": 9
  }
}