Pith Number

pith:TCBK34HZ

pith:2009:TCBK34HZF5CIQXCYJWHBF5IMWH

not attested not anchored not stored refs pending

Minimal surfaces in $\mathbb{R}^3$ properly projecting into $\mathbb{R}^2$

Antonio Alarcon, Francisco J. Lopez

arxiv:0910.4124 v3 · 2009-10-21 · 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{TCBK34HZF5CIQXCYJWHBF5IMWH}

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	2026-05-18T04:04:52.297634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9882adf0f92f44885c584d8e12f50cb1e8c5104fab11dcd71e3675e9be074a3d

Aliases

arxiv: 0910.4124 · arxiv_version: 0910.4124v3 · doi: 10.48550/arxiv.0910.4124 · pith_short_12: TCBK34HZF5CI · pith_short_16: TCBK34HZF5CIQXCY · pith_short_8: TCBK34HZ

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/TCBK34HZF5CIQXCYJWHBF5IMWH \
  | 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: 9882adf0f92f44885c584d8e12f50cb1e8c5104fab11dcd71e3675e9be074a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5050c657c4cfe49ee29ba773c160c975bd8dc9115eae0d0abc7dae59e6261cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-21T16:19:22Z",
    "title_canon_sha256": "3379e8dff3cde7c1c09eb92ee06bb06093368090be090ed34b487e38e10bdbbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4124",
    "kind": "arxiv",
    "version": 3
  }
}