Pith Number

pith:LMSDMJ6Y

pith:2010:LMSDMJ6YPNEHGQLWVQUDTWFIG3

not attested not anchored not stored refs pending

On the distortion of knots on embedded surfaces

John Pardon

arxiv:1010.1972 v3 · 2010-10-10 · 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{LMSDMJ6YPNEHGQLWVQUDTWFIG3}

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	2026-05-18T04:08:03.873130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b243627d87b48734176ac2839d8a836f7225ab143d30f3d260acf02b3be2f14

Aliases

arxiv: 1010.1972 · arxiv_version: 1010.1972v3 · doi: 10.48550/arxiv.1010.1972 · pith_short_12: LMSDMJ6YPNEH · pith_short_16: LMSDMJ6YPNEHGQLW · pith_short_8: LMSDMJ6Y

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/LMSDMJ6YPNEHGQLWVQUDTWFIG3 \
  | 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: 5b243627d87b48734176ac2839d8a836f7225ab143d30f3d260acf02b3be2f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44cb840e54a9ac14a72e418fb127f12bec71c57ee0e135749badc0bc7779e080",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-10T23:24:07Z",
    "title_canon_sha256": "93c2695faf3dd95d9e164b938432c38adab630f64995b22a20533dc966bbe53b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1972",
    "kind": "arxiv",
    "version": 3
  }
}