Pith Number

pith:K7M2P5D2

pith:2013:K7M2P5D2OXY35NX5ZK7V42E2KP

not attested not anchored not stored refs pending

The half space property for cmc $1/2$ graphs in $\mathbb{E}(-1,\tau)$

Laurent Mazet

arxiv:1303.3729 v2 · 2013-03-15 · 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{K7M2P5D2OXY35NX5ZK7V42E2KP}

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	2026-05-18T03:07:34.332849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d9a7f47a75f1beb6fdcabf5e689a53c6709fed6f48c64fd386b9cc21aa059d

Aliases

arxiv: 1303.3729 · arxiv_version: 1303.3729v2 · doi: 10.48550/arxiv.1303.3729 · pith_short_12: K7M2P5D2OXY3 · pith_short_16: K7M2P5D2OXY35NX5 · pith_short_8: K7M2P5D2

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/K7M2P5D2OXY35NX5ZK7V42E2KP \
  | 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: 57d9a7f47a75f1beb6fdcabf5e689a53c6709fed6f48c64fd386b9cc21aa059d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9992bec5f49fabf4c6b3bbb49c4bc6874775d7a8af46e5ea672cf66a41bcd833",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-15T10:51:31Z",
    "title_canon_sha256": "970ed7e635f42087128d7720122e20196209cdaf7de36f5deb5fd823da67fbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3729",
    "kind": "arxiv",
    "version": 2
  }
}