Pith Number

pith:ZEI7CKRF

pith:2010:ZEI7CKRFAAQN7JSBHKBIPMPAX5

not attested not anchored not stored refs pending

Non-isoparametric solutions of the eikonal equation

Vladimir G. Tkachev

arxiv:1009.1842 v2 · 2010-09-09 · 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{ZEI7CKRFAAQN7JSBHKBIPMPAX5}

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	2026-05-18T04:39:19.304093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c911f12a250020dfa6413a8287b1e0bf78a74428980840afcb43b8c8e6a49e26

Aliases

arxiv: 1009.1842 · arxiv_version: 1009.1842v2 · doi: 10.48550/arxiv.1009.1842 · pith_short_12: ZEI7CKRFAAQN · pith_short_16: ZEI7CKRFAAQN7JSB · pith_short_8: ZEI7CKRF

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/ZEI7CKRFAAQN7JSBHKBIPMPAX5 \
  | 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: c911f12a250020dfa6413a8287b1e0bf78a74428980840afcb43b8c8e6a49e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30236b351a7f9d6774f0793a6546d5a59ee9168cf70c51b1828450250b85adcc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-09T18:23:13Z",
    "title_canon_sha256": "88e42ba8796e472530381cb619257db3602d799696a46a44b45fa92214b670bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1842",
    "kind": "arxiv",
    "version": 2
  }
}