Pith Number

pith:ZFNR7532

pith:2003:ZFNR75323PKPAZ2RC47JENKA7E

not attested not anchored not stored refs pending

Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group

Roberto Frigerio

arxiv:math/0306398 v1 · 2003-06-27 · 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{ZFNR75323PKPAZ2RC47JENKA7E}

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	2026-05-18T01:05:28.780260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95b1ff77adbd4f06751173e923540f938f5ea67af4246c477f78dfeddaff40e

Aliases

arxiv: math/0306398 · arxiv_version: math/0306398v1 · doi: 10.48550/arxiv.math/0306398 · pith_short_12: ZFNR75323PKP · pith_short_16: ZFNR75323PKPAZ2R · pith_short_8: ZFNR7532

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/ZFNR75323PKPAZ2RC47JENKA7E \
  | 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: c95b1ff77adbd4f06751173e923540f938f5ea67af4246c477f78dfeddaff40e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6de37f646a5d44412165c30ebbe6aca9cb6c7e7b617b88b65bfb1f3a39f5512",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-06-27T15:06:33Z",
    "title_canon_sha256": "75f218d72d7e5ada3b4adfe37a8500ed3d57684287f1649ed0361b2c12fa4959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306398",
    "kind": "arxiv",
    "version": 1
  }
}