Pith Number

pith:YHHEXVBQ

pith:2013:YHHEXVBQE4WS7WTBUAEBZY6PJG

not attested not anchored not stored refs pending

Chains(R) does not admit a geometrically meaningful properadic homotopy Frobenius algebra structure

Theo Johnson-Freyd

arxiv:1308.3423 v3 · 2013-08-15 · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHHEXVBQE4WS7WTBUAEBZY6PJG}

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	2026-05-18T02:30:33.908501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ce4bd430272d2fda61a0081ce3cf49919564d2b8895b0891796db319bd93b6

Aliases

arxiv: 1308.3423 · arxiv_version: 1308.3423v3 · doi: 10.48550/arxiv.1308.3423 · pith_short_12: YHHEXVBQE4WS · pith_short_16: YHHEXVBQE4WS7WTB · pith_short_8: YHHEXVBQ

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/YHHEXVBQE4WS7WTBUAEBZY6PJG \
  | 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: c1ce4bd430272d2fda61a0081ce3cf49919564d2b8895b0891796db319bd93b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64527e40b01437d6801c3ebc50d540bfe6ab523073723f041126e84c7b80a0ed",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-15T14:51:33Z",
    "title_canon_sha256": "dc44e6e66507041ed163cae38e745a5025c67e224af8211046940c4b3c454d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3423",
    "kind": "arxiv",
    "version": 3
  }
}