Pith Number

pith:3F2C6EFV

pith:2019:3F2C6EFVAC5YPXPEHCHDMVKY6X

not attested not anchored not stored refs pending

On length-holonomy spectrum of three dimensional compact hyperbolic manifolds

Ayesha Fatima, Chandrasheel Bhagwat

arxiv:1906.01835 v1 · 2019-06-05 · math.DG · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3F2C6EFVAC5YPXPEHCHDMVKY6X}

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	2026-05-17T23:44:06.051535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9742f10b500bb87dde4388e365558f5cfe050a3cfe7f5274f33b39002a9ade4

Aliases

arxiv: 1906.01835 · arxiv_version: 1906.01835v1 · doi: 10.48550/arxiv.1906.01835 · pith_short_12: 3F2C6EFVAC5Y · pith_short_16: 3F2C6EFVAC5YPXPE · pith_short_8: 3F2C6EFV

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/3F2C6EFVAC5YPXPEHCHDMVKY6X \
  | 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: d9742f10b500bb87dde4388e365558f5cfe050a3cfe7f5274f33b39002a9ade4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b465887e619149b90a76f5e0ab0e409b7816b932ba8ab3db99089b3af41ffb7a",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-05T05:45:13Z",
    "title_canon_sha256": "caa668128946d6dcf5e4e44b795a0138f6351028b4e0fb8df2d0728a57fad876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01835",
    "kind": "arxiv",
    "version": 1
  }
}