Pith Number

pith:2EP2E34G

pith:2013:2EP2E34GYIOIEL2DPH54MVWVF4

not attested not anchored not stored refs pending

Approximation theory for non-orientable minimal surfaces and applications

Antonio Alarcon, Francisco J. Lopez

arxiv:1307.2399 v1 · 2013-07-09 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EP2E34GYIOIEL2DPH54MVWVF4}

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	2026-05-18T02:03:38.220418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d11fa26f86c21c822f4379fbc656d52f25e97c15ea82764a6d64b45840f842f3

Aliases

arxiv: 1307.2399 · arxiv_version: 1307.2399v1 · doi: 10.48550/arxiv.1307.2399 · pith_short_12: 2EP2E34GYIOI · pith_short_16: 2EP2E34GYIOIEL2D · pith_short_8: 2EP2E34G

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/2EP2E34GYIOIEL2DPH54MVWVF4 \
  | 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: d11fa26f86c21c822f4379fbc656d52f25e97c15ea82764a6d64b45840f842f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065650b2a72fcb167d3be8378381765a8a6c8b69cb6527d38a86d25e47ef7056",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-09T11:03:27Z",
    "title_canon_sha256": "ab780a90a9d925e35f5b15e4fd74230eed7acefc40239b97468b6a2f1dd2439c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2399",
    "kind": "arxiv",
    "version": 1
  }
}