Pith Number

pith:XYTF2JQM

pith:2013:XYTF2JQMGZIFZ2ESZNBMLXVFSZ

not attested not anchored not stored refs pending

Free boundary minimal annuli in convex three-manifolds

Davi Maximo, Graham Smith, Ivaldo Nunes

arxiv:1312.5392 v1 · 2013-12-19 · 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{XYTF2JQMGZIFZ2ESZNBMLXVFSZ}

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	2026-05-18T03:04:08.007246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be265d260c36505ce892cb42c5dea59644e19f9eb581a38db6c47ee00ac38755

Aliases

arxiv: 1312.5392 · arxiv_version: 1312.5392v1 · doi: 10.48550/arxiv.1312.5392 · pith_short_12: XYTF2JQMGZIF · pith_short_16: XYTF2JQMGZIFZ2ES · pith_short_8: XYTF2JQM

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/XYTF2JQMGZIFZ2ESZNBMLXVFSZ \
  | 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: be265d260c36505ce892cb42c5dea59644e19f9eb581a38db6c47ee00ac38755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a544f16a242e7187a29200d28be79b99f75ebc17d17fa34a820e61e55e324d6c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-19T02:00:21Z",
    "title_canon_sha256": "888c9a95363ff37f3e59260b11b65b2f4f3f112a87f0d5830a06987872711efe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5392",
    "kind": "arxiv",
    "version": 1
  }
}