Pith Number

pith:JA3A5FSM

pith:2019:JA3A5FSMIWONIH6FMHWASG5FDG

not attested not anchored not stored refs pending

Writhe polynomials and shell moves for virtual knots and links

Shin Satoh, Takuji Nakamura, Yasutaka Nakanishi

arxiv:1905.03489 v1 · 2019-05-09 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JA3A5FSMIWONIH6FMHWASG5FDG}

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	2026-05-17T23:46:39.723262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48360e964c459cd41fc561ec091ba519bbf2eb769482f228d1b4babfd14e5957

Aliases

arxiv: 1905.03489 · arxiv_version: 1905.03489v1 · doi: 10.48550/arxiv.1905.03489 · pith_short_12: JA3A5FSMIWON · pith_short_16: JA3A5FSMIWONIH6F · pith_short_8: JA3A5FSM

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/JA3A5FSMIWONIH6FMHWASG5FDG \
  | 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: 48360e964c459cd41fc561ec091ba519bbf2eb769482f228d1b4babfd14e5957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bbbcfce36e9c2ce19dd1b2fc36f17e8a86fcbd2d79589bd44041a23dc48639c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-09T08:43:28Z",
    "title_canon_sha256": "ea30c95708d5bdc6a28cee4c8894cd609acf59de0b919b84edbca14e5cc6a89f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03489",
    "kind": "arxiv",
    "version": 1
  }
}