Pith Number

pith:F7POSTO5

pith:2015:F7POSTO5CK5HCOP5YCYGCCDJZM

not attested not anchored not stored refs pending

Comparison theorems for hyperbolic type metrics

Matti Vuorinen, Oleksiy Dovgoshey, Parisa Hariri

arxiv:1504.04487 v2 · 2015-04-17 · 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{F7POSTO5CK5HCOP5YCYGCCDJZM}

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	2026-05-18T00:25:06.044810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fdee94ddd12ba7139fdc0b0610869cb13ef3632b390e1762bdf8d67d1c30117

Aliases

arxiv: 1504.04487 · arxiv_version: 1504.04487v2 · doi: 10.48550/arxiv.1504.04487 · pith_short_12: F7POSTO5CK5H · pith_short_16: F7POSTO5CK5HCOP5 · pith_short_8: F7POSTO5

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/F7POSTO5CK5HCOP5YCYGCCDJZM \
  | 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: 2fdee94ddd12ba7139fdc0b0610869cb13ef3632b390e1762bdf8d67d1c30117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "490c8ffbd5e40cbe1c0d84fbf701a59bd184033dd07026400bb95274bc5eed32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-04-17T11:53:25Z",
    "title_canon_sha256": "7d49f045d6043dc366c63ce379db2b24084d53f3e62bdd2c0ed6359ca59e9d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04487",
    "kind": "arxiv",
    "version": 2
  }
}