Pith Number

pith:NU2U7TJZ

pith:2009:NU2U7TJZCUR5N63F5JOSJOECPN

not attested not anchored not stored refs pending

External geometry of p-minimal surfaces

Vladimir G. Tkachev

arxiv:0903.0176 v1 · 2009-03-01 · 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{NU2U7TJZCUR5N63F5JOSJOECPN}

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	2026-05-18T00:18:05.604072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d354fcd391523d6fb65ea5d24b8827b6cb4114e507a71d24d2ed4c32936888c

Aliases

arxiv: 0903.0176 · arxiv_version: 0903.0176v1 · doi: 10.48550/arxiv.0903.0176 · pith_short_12: NU2U7TJZCUR5 · pith_short_16: NU2U7TJZCUR5N63F · pith_short_8: NU2U7TJZ

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/NU2U7TJZCUR5N63F5JOSJOECPN \
  | 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: 6d354fcd391523d6fb65ea5d24b8827b6cb4114e507a71d24d2ed4c32936888c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b5d860525ab59bfc0e8b4752cf1dff69565ecc10724eecf09b4252eb78e4b8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-01T20:47:02Z",
    "title_canon_sha256": "16adf6eefc960699ed2799de869c7d735808c14cbb9c2bc530e310f1447b5271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0176",
    "kind": "arxiv",
    "version": 1
  }
}