Pith Number

pith:7P7CSPAS

pith:2015:7P7CSPASNBUAAAT4DRHK623TM7

not attested not anchored not stored refs pending

Symmetric homotopy theory for operads

Bruno Vallette, Malte Dehling

arxiv:1503.02701 v1 · 2015-03-09 · math.AT · math.CT · math.KT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7P7CSPASNBUAAAT4DRHK623TM7}

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	2026-07-05T03:08:17.526124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbfe293c12686800027c1c4eaf6b7367ee3218d2f9e273dbdb02720aa3044a55

Aliases

arxiv: 1503.02701 · arxiv_version: 1503.02701v1 · doi: 10.48550/arxiv.1503.02701 · pith_short_12: 7P7CSPASNBUA · pith_short_16: 7P7CSPASNBUAAAT4 · pith_short_8: 7P7CSPAS

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/7P7CSPASNBUAAAT4DRHK623TM7 \
  | 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: fbfe293c12686800027c1c4eaf6b7367ee3218d2f9e273dbdb02720aa3044a55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8f4b9f84c5134a275e2021adb7e7303c851d5931aed487c73a5bb4c1e86b6e5",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-09T21:20:42Z",
    "title_canon_sha256": "3735160a5d6ccc43997ebf91955b726beb964e190d020e07f5b5b8aa07a76338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02701",
    "kind": "arxiv",
    "version": 1
  }
}