Pith Number

pith:7WPP6P4E

pith:2004:7WPP6P4E2SVW3O5E37LRG77WOY

not attested not anchored not stored refs pending

A Lagrangian representation of tangles

David Cimasoni, Vladimir Turaev

arxiv:math/0406269 v1 · 2004-06-14 · 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{7WPP6P4E2SVW3O5E37LRG77WOY}

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	2026-05-18T03:49:10.746369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9eff3f84d4ab6dbba4dfd7137ff67600765399a4d218645e57c3b8c709a83d

Aliases

arxiv: math/0406269 · arxiv_version: math/0406269v1 · doi: 10.48550/arxiv.math/0406269 · pith_short_12: 7WPP6P4E2SVW · pith_short_16: 7WPP6P4E2SVW3O5E · pith_short_8: 7WPP6P4E

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/7WPP6P4E2SVW3O5E37LRG77WOY \
  | 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: fd9eff3f84d4ab6dbba4dfd7137ff67600765399a4d218645e57c3b8c709a83d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81248485088fd8a57cf789e7d299acbf86143657bc0773116138a59924fd9a54",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-06-14T12:25:59Z",
    "title_canon_sha256": "b99626fe8e1e9ad58652e0703780c8361c7999e04940a8bc27e8dafeb03c6ac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406269",
    "kind": "arxiv",
    "version": 1
  }
}