Pith Number

pith:7S2AVDXP

pith:2006:7S2AVDXPYECPKYPHP2GLOQ4JEW

not attested not anchored not stored refs pending

Knots, operads and double loop spaces

Paolo Salvatore

arxiv:math/0608490 v1 · 2006-08-21 · 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{7S2AVDXPYECPKYPHP2GLOQ4JEW}

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	2026-07-04T14:56:07.991850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb40a8eefc104f561e77e8cb7438925871998d7d7f660b3c5670bc628512ff2

Aliases

arxiv: math/0608490 · arxiv_version: math/0608490v1 · doi: 10.48550/arxiv.math/0608490 · pith_short_12: 7S2AVDXPYECP · pith_short_16: 7S2AVDXPYECPKYPH · pith_short_8: 7S2AVDXP

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/7S2AVDXPYECPKYPHP2GLOQ4JEW \
  | 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: fcb40a8eefc104f561e77e8cb7438925871998d7d7f660b3c5670bc628512ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7c7fc2bcc1e88be5f3f786dd9ec5f72e013cbcb535438ba69bc921bc971dd5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-08-21T03:19:45Z",
    "title_canon_sha256": "bad6d6c897baf9bb9796a253e008c64d75b2e4d8865d265262aea71c3a059bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608490",
    "kind": "arxiv",
    "version": 1
  }
}