Pith Number

pith:A2KU3RWP

pith:2017:A2KU3RWP5ZTEQRV5HOEP2RHADY

not attested not anchored not stored refs pending

Quaternionic Hyperbolic Fenchel-Nielsen Coordinates

Krishnendu Gongopadhyay, Sagar B. Kalane

arxiv:1708.06044 v3 · 2017-08-21 · 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{A2KU3RWP5ZTEQRV5HOEP2RHADY}

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	2026-05-18T00:22:05.777523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06954dc6cfee664846bd3b88fd44e01e3455d28b5be9ba47b451b2cff3301645

Aliases

arxiv: 1708.06044 · arxiv_version: 1708.06044v3 · doi: 10.48550/arxiv.1708.06044 · pith_short_12: A2KU3RWP5ZTE · pith_short_16: A2KU3RWP5ZTEQRV5 · pith_short_8: A2KU3RWP

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/A2KU3RWP5ZTEQRV5HOEP2RHADY \
  | 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: 06954dc6cfee664846bd3b88fd44e01e3455d28b5be9ba47b451b2cff3301645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fcf591ac03e7538e29173b7ba79e904297ac41209980918f7fc38505834c30f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-21T01:16:25Z",
    "title_canon_sha256": "78fba7f14c51db0171275c0ace6716bafd12afde0f143e258adf2c6c3c864be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06044",
    "kind": "arxiv",
    "version": 3
  }
}