Pith Number

pith:Z6XC4M34

pith:2013:Z6XC4M34A6MOSTOHUW7Y3QLIUO

not attested not anchored not stored refs pending

On Hilbert's fourth problem

Athanase Papadopoulos (IRMA)

arxiv:1312.3172 v1 · 2013-12-11 · math.HO · 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{Z6XC4M34A6MOSTOHUW7Y3QLIUO}

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	2026-05-18T03:05:00.297896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfae2e337c0798e94dc7a5bf8dc168a3beccba3ad53d43c76b1bf9f24477a0bd

Aliases

arxiv: 1312.3172 · arxiv_version: 1312.3172v1 · doi: 10.48550/arxiv.1312.3172 · pith_short_12: Z6XC4M34A6MO · pith_short_16: Z6XC4M34A6MOSTOH · pith_short_8: Z6XC4M34

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/Z6XC4M34A6MOSTOHUW7Y3QLIUO \
  | 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: cfae2e337c0798e94dc7a5bf8dc168a3beccba3ad53d43c76b1bf9f24477a0bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9970cfb20bdfab1e0391dcf3f13d74872c415c5b7edcd444ef2c46ee58215ff6",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-12-11T14:07:23Z",
    "title_canon_sha256": "28c4da24e7ac1373abefc03a192580c9801ec95a82433646b676822efc96b720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3172",
    "kind": "arxiv",
    "version": 1
  }
}