Pith Number

pith:O6LOZD4U

pith:2016:O6LOZD4UXAVHRWBTDYWMSGFSCP

not attested not anchored not stored refs pending

The boundary length and point spectrum enumeration of partial chord diagrams using cut and join recursion

Christian M. Reidys, Hiroyuki Fuji, J{\o}rgen Ellegaard Andersen, Robert C. Penner

arxiv:1612.06482 v2 · 2016-12-20 · math-ph · hep-th · math.CO · math.MP · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6LOZD4UXAVHRWBTDYWMSGFSCP}

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	2026-05-18T00:47:26.436236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7796ec8f94b82a78d8331e2cc918b213d3d83102d4de5a8c331546d76ec355af

Aliases

arxiv: 1612.06482 · arxiv_version: 1612.06482v2 · doi: 10.48550/arxiv.1612.06482 · pith_short_12: O6LOZD4UXAVH · pith_short_16: O6LOZD4UXAVHRWBT · pith_short_8: O6LOZD4U

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/O6LOZD4UXAVHRWBTDYWMSGFSCP \
  | 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: 7796ec8f94b82a78d8331e2cc918b213d3d83102d4de5a8c331546d76ec355af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a9e22eb890add92d4dc088acd37dd8fee1dc16afa5f03164a9fd253384bd7b",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-20T01:45:45Z",
    "title_canon_sha256": "320daeb3f1c2f6d73e49495fe11be98adb78bfa982d73116bafd8e4c004517ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06482",
    "kind": "arxiv",
    "version": 2
  }
}