Pith Number

pith:WKLIBZ2K

pith:2002:WKLIBZ2KYHMAXL4KGLBVVATDKO

not attested not anchored not stored refs pending

Hamilton-Jacobi Equations and Distance Functions on Riemannian Manifolds

Andrea Carlo Mennucci, Carlo Mantegazza

arxiv:math/0201296 v1 · 2002-01-30 · math.AP · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKLIBZ2KYHMAXL4KGLBVVATDKO}

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	2026-05-18T03:21:46.099194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29680e74ac1d80baf8a32c35a826353a92dd7e055a121b50a8229473442a391

Aliases

arxiv: math/0201296 · arxiv_version: math/0201296v1 · doi: 10.48550/arxiv.math/0201296 · pith_short_12: WKLIBZ2KYHMA · pith_short_16: WKLIBZ2KYHMAXL4K · pith_short_8: WKLIBZ2K

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/WKLIBZ2KYHMAXL4KGLBVVATDKO \
  | 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: b29680e74ac1d80baf8a32c35a826353a92dd7e055a121b50a8229473442a391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e943f2dced95846d9e0e179a77e05c55d48a44d8065d1acc930266d67a741f8",
    "cross_cats_sorted": [
      "math.DG",
      "math.OC"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2002-01-30T12:34:43Z",
    "title_canon_sha256": "ed229d81c6e03fafc28abe6fabdd0f261545c5ec7cccdd9e82922037948acbb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201296",
    "kind": "arxiv",
    "version": 1
  }
}