Pith Number

pith:CRPER2UO

pith:2017:CRPER2UOHTRPGB7RTXEPS6VMUU

not attested not anchored not stored refs pending

Metric transforms yielding Gromov hyperbolic spaces

Andrew Nicas, George Dragomir

arxiv:1710.05078 v2 · 2017-10-13 · math.MG · math.GT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRPER2UOHTRPGB7RTXEPS6VMUU}

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.

Cited by

1 paper in Pith

Physics-driven Comparative Analysis of Various Statistical Distance Metrics and Normalizing Functions

Receipt and verification

First computed	2026-05-18T00:10:47.368208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145e48ea8e3ce2f307f19dc8f97aaca506d3f8982cd43c13004a49518a355506

Aliases

arxiv: 1710.05078 · arxiv_version: 1710.05078v2 · doi: 10.48550/arxiv.1710.05078 · pith_short_12: CRPER2UOHTRP · pith_short_16: CRPER2UOHTRPGB7R · pith_short_8: CRPER2UO

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/CRPER2UOHTRPGB7RTXEPS6VMUU \
  | 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: 145e48ea8e3ce2f307f19dc8f97aaca506d3f8982cd43c13004a49518a355506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b84836f1151c36ef017cf71591f020abc0d48fce61e10e125b26fc35eb7b6908",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-10-13T21:16:18Z",
    "title_canon_sha256": "36e3fc919a8afe668666d40043ebe347500860124efeae186f0ae8a5231197ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05078",
    "kind": "arxiv",
    "version": 2
  }
}