Pith Number

pith:DMK2YZ4D

pith:2014:DMK2YZ4DIFYQNBRGV3OWC6N42X

not attested not anchored not stored refs pending

Geometry of the Cassinian metric and its inner metric

Manas Ranjan Mohapatra, Swadesh Kumar Sahoo, Xiaohui Zhang, Zair Ibragimov

arxiv:1412.4035 v2 · 2014-12-12 · 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{DMK2YZ4DIFYQNBRGV3OWC6N42X}

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	2026-05-18T01:27:46.439058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b15ac67834171068626aedd6179bcd5c1f1748e0ee980104adbf6b22a47d7bc

Aliases

arxiv: 1412.4035 · arxiv_version: 1412.4035v2 · doi: 10.48550/arxiv.1412.4035 · pith_short_12: DMK2YZ4DIFYQ · pith_short_16: DMK2YZ4DIFYQNBRG · pith_short_8: DMK2YZ4D

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/DMK2YZ4DIFYQNBRGV3OWC6N42X \
  | 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: 1b15ac67834171068626aedd6179bcd5c1f1748e0ee980104adbf6b22a47d7bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4f5a5c7457ceaab2c3615003b68ef45d2b4d89a302abee2bf26a4b4b9f9ad56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-12T16:16:03Z",
    "title_canon_sha256": "aaa2e07434e03bc90c998a52d9bf2aaf502963d733c429a27cc378e74a8f88e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4035",
    "kind": "arxiv",
    "version": 2
  }
}