Pith Number

pith:7KWQ2PA7

pith:2007:7KWQ2PA72SKVB3RMIOQ5HHJJHK

not attested not anchored not stored refs pending

Existence and uniqueness results for the Gradient Vector Flow and geodesic active contours mixed model

Laurence Guillot (MAPMO), Ma\"itine Bergounioux (MAPMO)

arxiv:math/0702255 v1 · 2007-02-09 · 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{7KWQ2PA72SKVB3RMIOQ5HHJJHK}

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	2026-05-18T01:09:15.452546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faad0d3c1fd49550ee2c43a1d39d293a80a59649ac3b45d59aeb97eacfccab01

Aliases

arxiv: math/0702255 · arxiv_version: math/0702255v1 · doi: 10.48550/arxiv.math/0702255 · pith_short_12: 7KWQ2PA72SKV · pith_short_16: 7KWQ2PA72SKVB3RM · pith_short_8: 7KWQ2PA7

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/7KWQ2PA72SKVB3RMIOQ5HHJJHK \
  | 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: faad0d3c1fd49550ee2c43a1d39d293a80a59649ac3b45d59aeb97eacfccab01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad233302e307803a60e8817f95ee519d19c5099554cfeaa841cee701120ec98",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-02-09T12:22:38Z",
    "title_canon_sha256": "9d47fb9fb89c4c527033c9a4c39bb5518de5be88f9de6813aa1fdf0523e2f0d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702255",
    "kind": "arxiv",
    "version": 1
  }
}