Pith Number

pith:3FIJBV77

pith:2011:3FIJBV77EY2XU6VSLQYXZS66AG

not attested not anchored not stored refs pending

Planar and spherical stick indices of knots

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

arxiv:1108.5700 v1 · 2011-08-29 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FIJBV77EY2XU6VSLQYXZS66AG}

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	2026-05-18T04:14:36.958598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95090d7ff26357a7ab25c317ccbde01bff1e0e7368f46c8f9c71295797d3713

Aliases

arxiv: 1108.5700 · arxiv_version: 1108.5700v1 · doi: 10.48550/arxiv.1108.5700 · pith_short_12: 3FIJBV77EY2X · pith_short_16: 3FIJBV77EY2XU6VS · pith_short_8: 3FIJBV77

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/3FIJBV77EY2XU6VSLQYXZS66AG \
  | 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: d95090d7ff26357a7ab25c317ccbde01bff1e0e7368f46c8f9c71295797d3713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ae326fa5420c794bfc6e91f03ff77e299642530b27fd0775ff1753354a0e06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-29T18:51:13Z",
    "title_canon_sha256": "52cab76bbda7a644ba752e65c4523b531bb9a94d2498dd20f5668aa8d606d20d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5700",
    "kind": "arxiv",
    "version": 1
  }
}