Pith Number

pith:AIJL6COU

pith:2017:AIJL6COUYKJ75RUK5YR6S6LZXT

not attested not anchored not stored refs pending

Trace Diagrams and Biquandle Brackets

Natsumi Oyamaguchi, Sam Nelson

arxiv:1705.07243 v2 · 2017-05-20 · math.GT · 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{AIJL6COUYKJ75RUK5YR6S6LZXT}

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	2026-05-18T00:31:51.092563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0212bf09d4c293fec68aee23e97979bcf797065f8d0808d078a7d4c826701df9

Aliases

arxiv: 1705.07243 · arxiv_version: 1705.07243v2 · doi: 10.48550/arxiv.1705.07243 · pith_short_12: AIJL6COUYKJ7 · pith_short_16: AIJL6COUYKJ75RUK · pith_short_8: AIJL6COU

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/AIJL6COUYKJ75RUK5YR6S6LZXT \
  | 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: 0212bf09d4c293fec68aee23e97979bcf797065f8d0808d078a7d4c826701df9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a3153b1045a3d95f6bddb2e1e87b32da6db8311716b7a01b86d09e42c936ee",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-20T01:26:09Z",
    "title_canon_sha256": "9e0f81386ad11118e9aeaea57debf5327766eb4626a819b0ffcd82a75714f392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07243",
    "kind": "arxiv",
    "version": 2
  }
}