Pith Number

pith:Q63XK5GF

pith:2013:Q63XK5GFD3U4ELWZUYO32PZAHB

not attested not anchored not stored refs pending

On three-dimensional Alexandrov spaces

Fernando Galaz-Garcia, Luis Guijarro

arxiv:1307.3929 v2 · 2013-07-15 · math.DG · math.GT · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q63XK5GFD3U4ELWZUYO32PZAHB}

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	2026-05-18T02:55:04.092198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87b77574c51ee9c22ed9a61dbd3f203863fabbe68ecf207d30e6d378d461d3b3

Aliases

arxiv: 1307.3929 · arxiv_version: 1307.3929v2 · doi: 10.48550/arxiv.1307.3929 · pith_short_12: Q63XK5GFD3U4 · pith_short_16: Q63XK5GFD3U4ELWZ · pith_short_8: Q63XK5GF

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/Q63XK5GFD3U4ELWZUYO32PZAHB \
  | 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: 87b77574c51ee9c22ed9a61dbd3f203863fabbe68ecf207d30e6d378d461d3b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe48a15442e2aef2b313d5274bc6077cbe3a7c74ea223a6539df1ab1daade050",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-15T13:26:53Z",
    "title_canon_sha256": "8e03103fc77b5e8c9be383a98755ecd728421c7f0f33fe55b8f58d67f1abb7f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3929",
    "kind": "arxiv",
    "version": 2
  }
}