Pith Number

pith:G4B3XW5A

pith:2014:G4B3XW5AWIESCDB4QG536LZVJZ

not attested not anchored not stored refs pending

Sobolev spaces and hyperbolic fillings

Eero Saksman, Mario Bonk

arxiv:1408.3642 v2 · 2014-08-15 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4B3XW5AWIESCDB4QG536LZVJZ}

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	2026-05-18T02:19:59.787116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3703bbdba0b209210c3c81bbbf2f354e5ada10a9af592f4c1ef91fc32aa6fb32

Aliases

arxiv: 1408.3642 · arxiv_version: 1408.3642v2 · doi: 10.48550/arxiv.1408.3642 · pith_short_12: G4B3XW5AWIES · pith_short_16: G4B3XW5AWIESCDB4 · pith_short_8: G4B3XW5A

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/G4B3XW5AWIESCDB4QG536LZVJZ \
  | 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: 3703bbdba0b209210c3c81bbbf2f354e5ada10a9af592f4c1ef91fc32aa6fb32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b656e747ee87f061d42f5b297b3134ae651046e867bacf9a8221e708658996cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-08-15T20:10:24Z",
    "title_canon_sha256": "95bb8f422b04c89c63ba8b53fedde17fe4b5f355af081dd56c273453de91600c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3642",
    "kind": "arxiv",
    "version": 2
  }
}