Pith Number

pith:S7C7FGBS

pith:2017:S7C7FGBSTUM6WL7NJZWKDPEF7U

not attested not anchored not stored refs pending

Gradation of Algebras of Curves by the Winding Number

Benjamin Cooper, Mohamed Imad Bakhira

arxiv:1712.00691 v3 · 2017-12-03 · 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{S7C7FGBSTUM6WL7NJZWKDPEF7U}

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	2026-05-18T00:17:42.022065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c5f298329d19eb2fed4e6ca1bc85fd3788046fcb3a0fe10ca27882d4948757

Aliases

arxiv: 1712.00691 · arxiv_version: 1712.00691v3 · doi: 10.48550/arxiv.1712.00691 · pith_short_12: S7C7FGBSTUM6 · pith_short_16: S7C7FGBSTUM6WL7N · pith_short_8: S7C7FGBS

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/S7C7FGBSTUM6WL7NJZWKDPEF7U \
  | 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: 97c5f298329d19eb2fed4e6ca1bc85fd3788046fcb3a0fe10ca27882d4948757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f46cc7794dcf8c012a7331d919763e133e6c03cb929a7bf51510d424d373390",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-03T01:45:50Z",
    "title_canon_sha256": "eb7e61e4bf02a8a5ee78edd3f1cf5b373baf2b19896cd23d38ce7b2d3044cd34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00691",
    "kind": "arxiv",
    "version": 3
  }
}