Pith Number

pith:FFD5R6TO

pith:2011:FFD5R6TOUH2VJN4SPPBLWP6FZH

not attested not anchored not stored refs pending

The Symmetric Join Operad

John D.S. Jones, Michal Adamaszek

arxiv:1110.2989 v1 · 2011-10-13 · math.AT · 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{FFD5R6TOUH2VJN4SPPBLWP6FZH}

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	2026-05-18T04:11:06.481408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2947d8fa6ea1f554b7927bc2bb3fc5c9c059858cd244cc39dc54d2360b889565

Aliases

arxiv: 1110.2989 · arxiv_version: 1110.2989v1 · doi: 10.48550/arxiv.1110.2989 · pith_short_12: FFD5R6TOUH2V · pith_short_16: FFD5R6TOUH2VJN4S · pith_short_8: FFD5R6TO

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/FFD5R6TOUH2VJN4SPPBLWP6FZH \
  | 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: 2947d8fa6ea1f554b7927bc2bb3fc5c9c059858cd244cc39dc54d2360b889565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83891ac390a8ad56fce093bdd5f2bf999885052008425a6e7878a75e318e87a6",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-13T16:07:57Z",
    "title_canon_sha256": "fa230b55b1fcc819fb9e8b55648085fc58ad5d1267ae88f6ab00aa13732dd101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2989",
    "kind": "arxiv",
    "version": 1
  }
}