Pith Number

pith:3SRMSASK

pith:1999:3SRMSASKMH4GBVNO43FMI57VRI

not attested not anchored not stored refs pending

Spaces of Knots

Allen Hatcher (Cornell University)

arxiv:math/9909095 v1 · 1999-09-16 · 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{3SRMSASKMH4GBVNO43FMI57VRI}

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.

Cited by

1 paper in Pith

Ropelength-Filtered Knot Spaces

Receipt and verification

First computed	2026-07-04T14:41:18.698106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca2c9024a61f860d5aee6cac477f58a0d070871501729de892c0fc0985c98fd

Aliases

arxiv: math/9909095 · arxiv_version: math/9909095v1 · doi: 10.48550/arxiv.math/9909095 · pith_short_12: 3SRMSASKMH4G · pith_short_16: 3SRMSASKMH4GBVNO · pith_short_8: 3SRMSASK

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/3SRMSASKMH4GBVNO43FMI57VRI \
  | 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: dca2c9024a61f860d5aee6cac477f58a0d070871501729de892c0fc0985c98fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db59dc5da472e7e37e08bc868ae1526230d338ca15919601e85773701a6d425c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-09-16T19:47:43Z",
    "title_canon_sha256": "4f12db1ce3b8f3596e845415594f857a61fc2721b1d3e88c3419284002293049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909095",
    "kind": "arxiv",
    "version": 1
  }
}