Pith Number

pith:5GULJB5I

pith:2012:5GULJB5IDIUDF3QFYIHEOGFZ3W

not attested not anchored not stored refs pending

Continuous deformations of polyhedra that do not alter the dihedral angles

Victor Alexandrov

arxiv:1212.4676 v2 · 2012-12-19 · math.MG · 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{5GULJB5IDIUDF3QFYIHEOGFZ3W}

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	2026-05-18T02:43:16.671538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a8b487a81a2832ee05c20e4718b9ddb9c9a6df083843558ed027df8b6d0283

Aliases

arxiv: 1212.4676 · arxiv_version: 1212.4676v2 · doi: 10.48550/arxiv.1212.4676 · pith_short_12: 5GULJB5IDIUD · pith_short_16: 5GULJB5IDIUDF3QF · pith_short_8: 5GULJB5I

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/5GULJB5IDIUDF3QFYIHEOGFZ3W \
  | 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: e9a8b487a81a2832ee05c20e4718b9ddb9c9a6df083843558ed027df8b6d0283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f12bd7bea696466f2fdc0f98ba0e7628c9bef55e913a240faa43d7e03c45f70",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-12-19T14:42:52Z",
    "title_canon_sha256": "076a67e99dc62b2d2ddd510aab30ce3cea967518f12eb918950c93279fc9c674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4676",
    "kind": "arxiv",
    "version": 2
  }
}