Pith Number

pith:GFONFJXX

pith:2012:GFONFJXXB5Y6HCTQYJ7BCTLRF7

not attested not anchored not stored refs pending

The cut locus and distance function from a closed subset of a Finsler manifold

Minoru TANAKA, Sorin V. Sabau

arxiv:1207.0918 v3 · 2012-07-04 · 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{GFONFJXXB5Y6HCTQYJ7BCTLRF7}

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	2026-05-18T03:38:23.374370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

315cd2a6f70f71e38a70c27e114d712fda64505be5de07f05e90ba2efcf8fb66

Aliases

arxiv: 1207.0918 · arxiv_version: 1207.0918v3 · doi: 10.48550/arxiv.1207.0918 · pith_short_12: GFONFJXXB5Y6 · pith_short_16: GFONFJXXB5Y6HCTQ · pith_short_8: GFONFJXX

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/GFONFJXXB5Y6HCTQYJ7BCTLRF7 \
  | 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: 315cd2a6f70f71e38a70c27e114d712fda64505be5de07f05e90ba2efcf8fb66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53d990c22c7fcdccb6d45cb0f8784247698278ee4efd96b4af394f0ba3decef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-04T07:16:36Z",
    "title_canon_sha256": "dc1e6575ade635506c19479c1db52c5dcca7f844f54d01a381cc604c7a9da77b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0918",
    "kind": "arxiv",
    "version": 3
  }
}