Pith Number

pith:5MM6FGX4

pith:2012:5MM6FGX4DZYJOYYBXYZKC2JWBW

not attested not anchored not stored refs pending

Duality properties of indicatrices of knots

Bena Tshishiku, Charmaine Sia, Colin Adams, Dan Collins, Katherine Hawkins, Robert Silversmith

arxiv:1205.5248 v1 · 2012-05-23 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MM6FGX4DZYJOYYBXYZKC2JWBW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:55:01.938765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb19e29afc1e70976301be32a169360d8c544f57a833f1124d3fbc25f94cab1d

Aliases

arxiv: 1205.5248 · arxiv_version: 1205.5248v1 · doi: 10.48550/arxiv.1205.5248 · pith_short_12: 5MM6FGX4DZYJ · pith_short_16: 5MM6FGX4DZYJOYYB · pith_short_8: 5MM6FGX4

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/5MM6FGX4DZYJOYYBXYZKC2JWBW \
  | 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: eb19e29afc1e70976301be32a169360d8c544f57a833f1124d3fbc25f94cab1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bfb51bcde332cf5facf4dfbe132623509e74ca9ed435e8eebfd3d47978263ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-23T18:50:39Z",
    "title_canon_sha256": "ea2c336e23210a516e2925cf5e5ae3e6dedea32b10eb73899325de1b4dcbb4ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5248",
    "kind": "arxiv",
    "version": 1
  }
}