Pith Number

pith:OOSPQ6WR

pith:1997:OOSPQ6WRWU6HAGRBNK4XAA2ERV

not attested not anchored not stored refs pending

From Morse-Smale to all knots and links

Robert Ghrist, Todd Young

arxiv:math/9708208 v1 · 1997-08-22 · math.DS · 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{OOSPQ6WRWU6HAGRBNK4XAA2ERV}

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	2026-05-18T01:05:34.939948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a4f87ad1b53c701a216ab97003448d53ee61f63bd42315c6685942b6b38c57

Aliases

arxiv: math/9708208 · arxiv_version: math/9708208v1 · doi: 10.48550/arxiv.math/9708208 · pith_short_12: OOSPQ6WRWU6H · pith_short_16: OOSPQ6WRWU6HAGRB · pith_short_8: OOSPQ6WR

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/OOSPQ6WRWU6HAGRBNK4XAA2ERV \
  | 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: 73a4f87ad1b53c701a216ab97003448d53ee61f63bd42315c6685942b6b38c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b88d6d681f2a09032c4f5eba4613a3efc2c6628fd30c6ad6552b54ce1a50153f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1997-08-22T00:00:00Z",
    "title_canon_sha256": "8a3a083f23a398759d3dfc19db218f5d5a8bed009cdc2192a2f2204b752ba120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9708208",
    "kind": "arxiv",
    "version": 1
  }
}