Pith Number

pith:V3XTUMYQ

pith:2009:V3XTUMYQJLNCD7WCRJWDSAUQJU

not attested not anchored not stored refs pending

Studying uniform thickness I: Legendrian simple iterated torus knots

Douglas J. LaFountain

arxiv:0905.2760 v3 · 2009-05-17 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3XTUMYQJLNCD7WCRJWDSAUQJU}

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	2026-05-18T01:22:31.018162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeef3a33104ada21fec28a6c3902904d1dcd11eb60deec1f2f6329b0f6598e11

Aliases

arxiv: 0905.2760 · arxiv_version: 0905.2760v3 · doi: 10.48550/arxiv.0905.2760 · pith_short_12: V3XTUMYQJLNC · pith_short_16: V3XTUMYQJLNCD7WC · pith_short_8: V3XTUMYQ

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/V3XTUMYQJLNCD7WCRJWDSAUQJU \
  | 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: aeef3a33104ada21fec28a6c3902904d1dcd11eb60deec1f2f6329b0f6598e11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa1a5c00b618e882baf84c69b7b4ecc1f3e1cf3cd48f05f1996fa48896127bc",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-17T18:41:39Z",
    "title_canon_sha256": "79b1a2d282341d37dab4db06e970b4f462c922b41ee3d1be0327066c327ec9ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2760",
    "kind": "arxiv",
    "version": 3
  }
}