Pith Number

pith:QREALZGQ

pith:2011:QREALZGQLYBC7EMAHYIZRVD7X4

not attested not anchored not stored refs pending

The Alexandrov problem in a quotient space of $\mathbb H^2\times \mathbb R$

Ana Menezes

arxiv:1111.3087 v2 · 2011-11-14 · 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{QREALZGQLYBC7EMAHYIZRVD7X4}

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	2026-05-18T01:22:28.821140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844805e4d05e022f91803e1198d47fbf3638f5cf8feaddbd4745bcc72cb65b1e

Aliases

arxiv: 1111.3087 · arxiv_version: 1111.3087v2 · doi: 10.48550/arxiv.1111.3087 · pith_short_12: QREALZGQLYBC · pith_short_16: QREALZGQLYBC7EMA · pith_short_8: QREALZGQ

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/QREALZGQLYBC7EMAHYIZRVD7X4 \
  | 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: 844805e4d05e022f91803e1198d47fbf3638f5cf8feaddbd4745bcc72cb65b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38004c1a8824d500e7a5f0674209bad37f65d8fa646d59d519ceb1b21027241d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-14T02:17:15Z",
    "title_canon_sha256": "dfbdce6f948030f3a80627f16c1cd51257d76c7a72017ac6750f3c40a2167595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3087",
    "kind": "arxiv",
    "version": 2
  }
}