Pith Number

pith:HB4IQCPH

pith:2013:HB4IQCPHKE65E4EAJRH4YVPRRQ

not attested not anchored not stored refs pending

Metrizable isotropic second-order differential equations and Hilbert's fourth problem

Ioan Bucataru, Zolt\'an Muzsnay

arxiv:1303.5832 v1 · 2013-03-23 · 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{HB4IQCPHKE65E4EAJRH4YVPRRQ}

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	2026-05-18T02:46:39.454170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38788809e7513dd270804c4fcc55f18c3160f0b11fa20c223aa2850896103a64

Aliases

arxiv: 1303.5832 · arxiv_version: 1303.5832v1 · doi: 10.48550/arxiv.1303.5832 · pith_short_12: HB4IQCPHKE65 · pith_short_16: HB4IQCPHKE65E4EA · pith_short_8: HB4IQCPH

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/HB4IQCPHKE65E4EAJRH4YVPRRQ \
  | 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: 38788809e7513dd270804c4fcc55f18c3160f0b11fa20c223aa2850896103a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31575dc127848de5826c2956dfe7650938c9e542812683b40b6686b9b4069577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-23T11:27:49Z",
    "title_canon_sha256": "36c70be5074f2f3464e02f3650b63a791b948ad403d45479f6147123cb82eca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5832",
    "kind": "arxiv",
    "version": 1
  }
}