Pith Number

pith:QWJJRKNE

pith:2005:QWJJRKNERHW6QK334M2F7UFMDP

not attested not anchored not stored refs pending

Minimal surfaces and particles in 3-manifolds

Jean-Marc Schlenker, Kirill Krasnov

arxiv:math/0511441 v2 · 2005-11-17 · math.DG · gr-qc · 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{QWJJRKNERHW6QK334M2F7UFMDP}

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.

Cited by

2 papers in Pith

What's the Matter with 3D Gravity?

On random matrix statistics of 3d gravity

Receipt and verification

First computed	2026-07-04T15:28:55.314176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859298a9a489ede82b7be3345fd0ac1be897b3b97e5e345377e0d80ba37fadb5

Aliases

arxiv: math/0511441 · arxiv_version: math/0511441v2 · doi: 10.48550/arxiv.math/0511441 · pith_short_12: QWJJRKNERHW6 · pith_short_16: QWJJRKNERHW6QK33 · pith_short_8: QWJJRKNE

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/QWJJRKNERHW6QK334M2F7UFMDP \
  | 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: 859298a9a489ede82b7be3345fd0ac1be897b3b97e5e345377e0d80ba37fadb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8206ed7ec3fd5560e96cfea91c91850447292a42c4f0203d5bf265f17a21786",
    "cross_cats_sorted": [
      "gr-qc",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-11-17T14:43:42Z",
    "title_canon_sha256": "0f719893d0f0dd427947127c1162a59d7aef2c854b4e8f0718a27ec5fdab0134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511441",
    "kind": "arxiv",
    "version": 2
  }
}