Pith Number

pith:3NVMXXY3

pith:2019:3NVMXXY3C4SOIGVAYRTL5PRWBL

not attested not anchored not stored refs pending

Properadic homotopical calculus

Bruno Vallette, Eric Hoffbeck, Johan Leray

arxiv:1910.05027 v2 · 2019-10-11 · math.QA · 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{3NVMXXY3C4SOIGVAYRTL5PRWBL}

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	2026-07-05T00:21:37.742033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6acbdf1b1724e41aa0c466bebe360aff4b1a3637f106053053d9d08be86c0e

Aliases

arxiv: 1910.05027 · arxiv_version: 1910.05027v2 · doi: 10.48550/arxiv.1910.05027 · pith_short_12: 3NVMXXY3C4SO · pith_short_16: 3NVMXXY3C4SOIGVA · pith_short_8: 3NVMXXY3

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/3NVMXXY3C4SOIGVAYRTL5PRWBL \
  | 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: db6acbdf1b1724e41aa0c466bebe360aff4b1a3637f106053053d9d08be86c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa2700b47c7ffce2bc5f948901f63f92287900d6c312a9e3cb88010b5344bbe",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-10-11T08:33:27Z",
    "title_canon_sha256": "eb4e367be6c556ecc396561b0373fc39cbde0b7b14bfcfa2754e53e69816e2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.05027",
    "kind": "arxiv",
    "version": 2
  }
}