Pith Number

pith:S3CJY7SS

pith:2010:S3CJY7SS3MDASD7TMBYY5NRAJM

not attested not anchored not stored refs pending

Half-space theorems for minimal surfaces in Nil_3 and Sol_3

Benoit Daniel, Harold Rosenberg, William H. Meeks III

arxiv:1005.3963 v1 · 2010-05-21 · 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{S3CJY7SS3MDASD7TMBYY5NRAJM}

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	2026-05-18T03:26:21.052634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96c49c7e52db06090ff360718eb6204b054021f27a424ce05f3c54ffda6a09bd

Aliases

arxiv: 1005.3963 · arxiv_version: 1005.3963v1 · doi: 10.48550/arxiv.1005.3963 · pith_short_12: S3CJY7SS3MDA · pith_short_16: S3CJY7SS3MDASD7T · pith_short_8: S3CJY7SS

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/S3CJY7SS3MDASD7TMBYY5NRAJM \
  | 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: 96c49c7e52db06090ff360718eb6204b054021f27a424ce05f3c54ffda6a09bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af0c9b4d8b606d898e66062c229caf17559410c23fc6f4ae8aca59ce7bacf569",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-21T13:55:40Z",
    "title_canon_sha256": "81a571309ece129a03672033fb0be99bc2ee6be9ed76b11a6a66c23670003a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3963",
    "kind": "arxiv",
    "version": 1
  }
}