Pith Number

pith:S5I72ZAU

pith:2018:S5I72ZAURCTWLUETRG6FZDHFRS

not attested not anchored not stored refs pending

Three strongly hyperbolic metrics on ptolemy spaces

Yingqing Xiao, Zhanqi Zhang

arxiv:1802.08829 v2 · 2018-02-24 · 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{S5I72ZAURCTWLUETRG6FZDHFRS}

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	2026-05-18T00:22:02.132344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9751fd641488a765d09389bc5c8ce58caf398808446ec8b1c993f4f866d4763c

Aliases

arxiv: 1802.08829 · arxiv_version: 1802.08829v2 · doi: 10.48550/arxiv.1802.08829 · pith_short_12: S5I72ZAURCTW · pith_short_16: S5I72ZAURCTWLUET · pith_short_8: S5I72ZAU

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/S5I72ZAURCTWLUETRG6FZDHFRS \
  | 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: 9751fd641488a765d09389bc5c8ce58caf398808446ec8b1c993f4f866d4763c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b637177145b8719ea57abd903f435109901216deb92be65fc03a1f414587bcf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-02-24T10:29:19Z",
    "title_canon_sha256": "72be45a14c9c04b726395ec4785c52f52278fd5ae234eb7a51aa8f0690acdcd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08829",
    "kind": "arxiv",
    "version": 2
  }
}