Pith Number

pith:X5T23A42

pith:2013:X5T23A425AHODKD6FIPXYB4BOX

not attested not anchored not stored refs pending

Minimal surfaces in S^2xS^2

Francisco Torralbo, Francisco Urbano

arxiv:1301.1580 v1 · 2013-01-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5T23A425AHODKD6FIPXYB4BOX}

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	2026-05-18T03:36:57.117838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf67ad839ae80ee1a87e2a1f7c078175e79adc431ec7a5b21c2c92073dde14d7

Aliases

arxiv: 1301.1580 · arxiv_version: 1301.1580v1 · doi: 10.48550/arxiv.1301.1580 · pith_short_12: X5T23A425AHO · pith_short_16: X5T23A425AHODKD6 · pith_short_8: X5T23A42

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/X5T23A425AHODKD6FIPXYB4BOX \
  | 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: bf67ad839ae80ee1a87e2a1f7c078175e79adc431ec7a5b21c2c92073dde14d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ae7c50b5e2ec58ddc867fbc2dc92bbeb291e622ab8db8441aff0b44ea5a2700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-08T16:22:24Z",
    "title_canon_sha256": "edf88c5e551ccfe95f3bae41fa1d0cf44d77b2186c4337894c4dc729b6b70bd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1580",
    "kind": "arxiv",
    "version": 1
  }
}