Pith Number

pith:ZDMHNYV3

pith:2013:ZDMHNYV3EIB7EYVLRLMXAW3P47

not attested not anchored not stored refs pending

Convergence to equilibrium of gradient flows defined on planar curves

Matteo Novaga, Shinya Okabe

arxiv:1306.1406 v1 · 2013-06-06 · 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{ZDMHNYV3EIB7EYVLRLMXAW3P47}

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	2026-05-18T03:21:34.318891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8d876e2bb2203f262ab8ad9705b6fe7c666bf87839287741f8d3229b7dfcfb1

Aliases

arxiv: 1306.1406 · arxiv_version: 1306.1406v1 · doi: 10.48550/arxiv.1306.1406 · pith_short_12: ZDMHNYV3EIB7 · pith_short_16: ZDMHNYV3EIB7EYVL · pith_short_8: ZDMHNYV3

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/ZDMHNYV3EIB7EYVLRLMXAW3P47 \
  | 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: c8d876e2bb2203f262ab8ad9705b6fe7c666bf87839287741f8d3229b7dfcfb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c5d5751821f8dd316e9042246b7f4b62a5d665e69df3f369322df6243749ac0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-06T13:32:03Z",
    "title_canon_sha256": "9718379a13a9d5b11abb6cfb5556b8ee388ffcb0cbc9cb12ccc172f0320c47b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1406",
    "kind": "arxiv",
    "version": 1
  }
}