Pith Number

pith:IWBHJPDV

pith:2007:IWBHJPDVJYHRETCDEGABRBXGEM

not attested not anchored not stored refs pending

Evolution of convex lens-shaped networks under curve shortening flow

Abderrahim Azouani, Amos Koeller, Brian Smith (for the Lens Seminar), Felix Schulze, Juliette Hell, Marc Georgi, Mariel S\'aez, Nihar Jangle, Oliver C. Schn\"urer, Sandra Ritthaler, Tobias Marxen

arxiv:0711.1108 v1 · 2007-11-07 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWBHJPDVJYHRETCDEGABRBXGEM}

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	2026-07-04T23:54:36.043647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

458274bc754e0f124c4321801886e6232a6f021bcaa5541fc65b67f6e1d788d1

Aliases

arxiv: 0711.1108 · arxiv_version: 0711.1108v1 · doi: 10.48550/arxiv.0711.1108 · pith_short_12: IWBHJPDVJYHR · pith_short_16: IWBHJPDVJYHRETCD · pith_short_8: IWBHJPDV

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/IWBHJPDVJYHRETCDEGABRBXGEM \
  | 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: 458274bc754e0f124c4321801886e6232a6f021bcaa5541fc65b67f6e1d788d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84355c88f8ca563974867c2ad0978bdd338f9c639397c9f8e726b5cb8d0c1566",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-11-07T16:03:18Z",
    "title_canon_sha256": "ee37a3f2a913171654f2a9dbad44c889564e50f259d7eec6e13b5fd91d1027e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1108",
    "kind": "arxiv",
    "version": 1
  }
}