Pith Number

pith:XDDMZ67U

pith:2014:XDDMZ67UGRYD3TNSBIQO2AJCO7

not attested not anchored not stored refs pending

A quest for 5-point condition a la Alexandrov

Anton Petrunin

arxiv:1411.5329 v1 · 2014-11-19 · 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{XDDMZ67UGRYD3TNSBIQO2AJCO7}

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	2026-05-18T00:11:24.113922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c6ccfbf434703dcdb20a20ed012277d129fe1849dc41305e156f5acff0c8e0

Aliases

arxiv: 1411.5329 · arxiv_version: 1411.5329v1 · doi: 10.48550/arxiv.1411.5329 · pith_short_12: XDDMZ67UGRYD · pith_short_16: XDDMZ67UGRYD3TNS · pith_short_8: XDDMZ67U

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/XDDMZ67UGRYD3TNSBIQO2AJCO7 \
  | 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: b8c6ccfbf434703dcdb20a20ed012277d129fe1849dc41305e156f5acff0c8e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f49359bdd4c6d7d346b5c7f19b75b13ebbce421cdc38749f2341faf209df92",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-11-19T19:35:52Z",
    "title_canon_sha256": "2786a973b3ee9433e68255f1436fc33df85fbadc06e53336c5eaf8ef9f47d15c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5329",
    "kind": "arxiv",
    "version": 1
  }
}