Pith Number

pith:2J4VIQNO

pith:2012:2J4VIQNOPDZFW2G6TOTM4SL4WB

not attested not anchored not stored refs pending

Properness of associated minimal surfaces

Antonio Alarcon, Francisco J. Lopez

arxiv:1203.0751 v1 · 2012-03-04 · 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{2J4VIQNOPDZFW2G6TOTM4SL4WB}

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	2026-05-18T04:00:50.625786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2795441ae78f25b68de9ba6ce497cb079e126afd5d9a649335490910f22c66a

Aliases

arxiv: 1203.0751 · arxiv_version: 1203.0751v1 · doi: 10.48550/arxiv.1203.0751 · pith_short_12: 2J4VIQNOPDZF · pith_short_16: 2J4VIQNOPDZFW2G6 · pith_short_8: 2J4VIQNO

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/2J4VIQNOPDZFW2G6TOTM4SL4WB \
  | 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: d2795441ae78f25b68de9ba6ce497cb079e126afd5d9a649335490910f22c66a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0fa49ee9c08aaf2dcd16e0026e3e9e2209fcd2df2a6a1c8bb38824858e730f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-04T17:01:50Z",
    "title_canon_sha256": "176b769d83753097133d9cd883d9bdbba1281b05685515ab490fe00e3873c8cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0751",
    "kind": "arxiv",
    "version": 1
  }
}