Pith Number

pith:JNEXT2SN

pith:2011:JNEXT2SNCO3OPKB3NO26EXSOUJ

not attested not anchored not stored refs pending

Koszul duality of the category of trees and bar construction for operads

Muriel Livernet (LAGA)

arxiv:1102.3622 v1 · 2011-02-17 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNEXT2SNCO3OPKB3NO26EXSOUJ}

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	2026-05-18T04:28:28.741458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4979ea4d13b6e7a83b6bb5e25e4ea2426763fdb806beb4ecfc8c4c342d5c95

Aliases

arxiv: 1102.3622 · arxiv_version: 1102.3622v1 · doi: 10.48550/arxiv.1102.3622 · pith_short_12: JNEXT2SNCO3O · pith_short_16: JNEXT2SNCO3OPKB3 · pith_short_8: JNEXT2SN

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/JNEXT2SNCO3OPKB3NO26EXSOUJ \
  | 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: 4b4979ea4d13b6e7a83b6bb5e25e4ea2426763fdb806beb4ecfc8c4c342d5c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf6bea208aee9d43e160fa1b79c2e42853841ff0ab51eb99563fa46b79c1162",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-02-17T16:17:13Z",
    "title_canon_sha256": "c1d672b5486191cc03607a8207f5f8a9511009e4fb88f32efb7912945c5eb8d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3622",
    "kind": "arxiv",
    "version": 1
  }
}