Pith Number

pith:DK2F4XST

pith:2009:DK2F4XSTHLPYZSJD27PVKHZTWP

not attested not anchored not stored refs pending

Affine deformations of a three-holed sphere

Todd A. Drumm, Virginie Charette, William M. Goldman

arxiv:0907.0690 v1 · 2009-07-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DK2F4XSTHLPYZSJD27PVKHZTWP}

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	2026-05-18T04:18:34.921431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ab45e5e533adf8cc923d7df551f33b3f3fb756966f05ff21371a2c15fbf72a0

Aliases

arxiv: 0907.0690 · arxiv_version: 0907.0690v1 · doi: 10.48550/arxiv.0907.0690 · pith_short_12: DK2F4XSTHLPY · pith_short_16: DK2F4XSTHLPYZSJD · pith_short_8: DK2F4XST

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/DK2F4XSTHLPYZSJD27PVKHZTWP \
  | 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: 1ab45e5e533adf8cc923d7df551f33b3f3fb756966f05ff21371a2c15fbf72a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a6d2820405852e406322614d59d2a4071161c0eef5812a326dd51d41f0e820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-03T18:23:00Z",
    "title_canon_sha256": "e8078e7278e4a2b7ec62cf1b52ed9e49409e5efe1f349c13b9f641616d039189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0690",
    "kind": "arxiv",
    "version": 1
  }
}