Pith Number

pith:5JM6MGFN

pith:2016:5JM6MGFN4HSXJI7NRNJEYT6WE5

not attested not anchored not stored refs pending

Sullivan minimal models of operad algebras

Agust\'i Roig, Joana Cirici

arxiv:1612.03862 v2 · 2016-12-12 · 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{5JM6MGFN4HSXJI7NRNJEYT6WE5}

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	2026-05-18T00:25:27.067705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea59e618ade1e574a3ed8b524c4fd627599171c809e1f08e5f07501b0ad75c58

Aliases

arxiv: 1612.03862 · arxiv_version: 1612.03862v2 · doi: 10.48550/arxiv.1612.03862 · pith_short_12: 5JM6MGFN4HSX · pith_short_16: 5JM6MGFN4HSXJI7N · pith_short_8: 5JM6MGFN

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/5JM6MGFN4HSXJI7NRNJEYT6WE5 \
  | 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: ea59e618ade1e574a3ed8b524c4fd627599171c809e1f08e5f07501b0ad75c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ee3046a176e0f078040242606bcab73ecf1fb38f0ae7279759999dfd92edcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-12-12T19:32:34Z",
    "title_canon_sha256": "38ba272e088fe4b65321fa1f7a1f20fc8bc79986159f82a42a6e87616aadc15b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03862",
    "kind": "arxiv",
    "version": 2
  }
}