Pith Number

pith:OR7O4IJO

pith:2015:OR7O4IJOIH5MO5PP2QFTR3VMOT

not attested not anchored not stored refs pending

Finsler bordifications of symmetric and certain locally symmetric spaces

Bernhard Leeb, Michael Kapovich

arxiv:1505.03593 v6 · 2015-05-14 · math.DG · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OR7O4IJOIH5MO5PP2QFTR3VMOT}

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	2026-05-18T00:13:33.012976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

747eee212e41fac775efd40b38eeac74efa4db0f462aba410959d56dd87d1df3

Aliases

arxiv: 1505.03593 · arxiv_version: 1505.03593v6 · doi: 10.48550/arxiv.1505.03593 · pith_short_12: OR7O4IJOIH5M · pith_short_16: OR7O4IJOIH5MO5PP · pith_short_8: OR7O4IJO

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/OR7O4IJOIH5MO5PP2QFTR3VMOT \
  | 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: 747eee212e41fac775efd40b38eeac74efa4db0f462aba410959d56dd87d1df3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065c2840e505f86547a7775748119fd32ee84ea781631ae00cb1dac6061e6093",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-14T01:46:52Z",
    "title_canon_sha256": "d8dd8e47c61b04de3c9f698f85eb0e5e40c6607f3d5f061ad3061e83be1b69c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03593",
    "kind": "arxiv",
    "version": 6
  }
}