Pith Number

pith:JDKQPWPB

pith:2016:JDKQPWPBUDCKKUBH2FLQKY2SHZ

not attested not anchored not stored refs pending

Hopf Algebraic Structure for Tagged Graphs and Topological Recursion

Lingxian Meng, Xiang-Mao Ding, Yuping Li

arxiv:1607.08136 v2 · 2016-07-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDKQPWPBUDCKKUBH2FLQKY2SHZ}

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	2026-05-18T00:34:31.634746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48d507d9e1a0c4a55027d1570563523e79b7484e80d18fa64f318d0161bd439f

Aliases

arxiv: 1607.08136 · arxiv_version: 1607.08136v2 · doi: 10.48550/arxiv.1607.08136 · pith_short_12: JDKQPWPBUDCK · pith_short_16: JDKQPWPBUDCKKUBH · pith_short_8: JDKQPWPB

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/JDKQPWPBUDCKKUBH2FLQKY2SHZ \
  | 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: 48d507d9e1a0c4a55027d1570563523e79b7484e80d18fa64f318d0161bd439f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce50f2161ee504ede4ee15c84ccbb8ed2d29b5032e9343113eaafdf4c95b98e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-27T15:00:38Z",
    "title_canon_sha256": "07fb7a045c1ab71bf2d2281a9e0fc3d69c2352fea11dd9a27ffdf61d48da3830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08136",
    "kind": "arxiv",
    "version": 2
  }
}