Pith Number

pith:RA6QHYP7

pith:2013:RA6QHYP77NKOR4J6ROZX23JE5X

not attested not anchored not stored refs pending

Properly embedded, area-minimizing surfaces in hyperbolic $3$-space

Brian White, Francisco Martin

arxiv:1302.5159 v3 · 2013-02-21 · 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{RA6QHYP77NKOR4J6ROZX23JE5X}

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	2026-05-18T03:02:35.323014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883d03e1fffb54e8f13e8bb37d6d24edd7ee68bf22824ead5b7ff5350fcc7015

Aliases

arxiv: 1302.5159 · arxiv_version: 1302.5159v3 · doi: 10.48550/arxiv.1302.5159 · pith_short_12: RA6QHYP77NKO · pith_short_16: RA6QHYP77NKOR4J6 · pith_short_8: RA6QHYP7

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/RA6QHYP77NKOR4J6ROZX23JE5X \
  | 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: 883d03e1fffb54e8f13e8bb37d6d24edd7ee68bf22824ead5b7ff5350fcc7015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d505f1ce1615b1fac5ecdf8069bd4b4868d4f16d0a07df7d85f673bea80892",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-21T02:29:47Z",
    "title_canon_sha256": "1df36be59292048c8d5c8b0d689ec7cf4aab61511c03357391b9b2c05f9701fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5159",
    "kind": "arxiv",
    "version": 3
  }
}