Pith Number

pith:GITGZRDR

pith:2009:GITGZRDRMCE7DVEVVAQ2DZXFVY

not attested not anchored not stored refs pending

On generalizing Lutz twists

Dishant M. Pancholi, John B. Etnyre

arxiv:0903.0295 v5 · 2009-03-02 · math.SG · 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{GITGZRDRMCE7DVEVVAQ2DZXFVY}

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	2026-05-18T01:23:59.328790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32266cc4716089f1d495a821a1e6e5ae00525e8d0c89d4324982fede12d934e7

Aliases

arxiv: 0903.0295 · arxiv_version: 0903.0295v5 · doi: 10.48550/arxiv.0903.0295 · pith_short_12: GITGZRDRMCE7 · pith_short_16: GITGZRDRMCE7DVEV · pith_short_8: GITGZRDR

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/GITGZRDRMCE7DVEVVAQ2DZXFVY \
  | 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: 32266cc4716089f1d495a821a1e6e5ae00525e8d0c89d4324982fede12d934e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c151f524f2f380df3bda0dd3a3185ab48864eeb40ca0ed5d564b5c074ac536d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-03-02T13:56:23Z",
    "title_canon_sha256": "0e390b8a242648532d31dbdba4b8c3345a7ed7022844c4e4c874db200916b3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0295",
    "kind": "arxiv",
    "version": 5
  }
}