Pith Number

pith:DY7JIRKH

pith:2013:DY7JIRKHEHDJC6NH7Y4IITUQY7

not attested not anchored not stored refs pending

Closed-Form Associators in Permutative Chord Diagrams

Peter Lee

arxiv:1304.4555 v1 · 2013-04-16 · 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{DY7JIRKHEHDJC6NH7Y4IITUQY7}

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	2026-05-18T03:27:52.655556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3e94454721c69179a7fe38844e90c7ee237a05a02d8c95cc694376cd7aab86

Aliases

arxiv: 1304.4555 · arxiv_version: 1304.4555v1 · doi: 10.48550/arxiv.1304.4555 · pith_short_12: DY7JIRKHEHDJ · pith_short_16: DY7JIRKHEHDJC6NH · pith_short_8: DY7JIRKH

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/DY7JIRKHEHDJC6NH7Y4IITUQY7 \
  | 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: 1e3e94454721c69179a7fe38844e90c7ee237a05a02d8c95cc694376cd7aab86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae53db2e529b5db87dabff4e79bbf7f6377d9f06566be87dffc76bb1285022d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-04-16T19:01:57Z",
    "title_canon_sha256": "e3bbd13f5f017df3fc5268dcecb77eb5c547bc8e87b1a7e52c7939d5c969c866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4555",
    "kind": "arxiv",
    "version": 1
  }
}