Pith Number

pith:KZZR6ERY

pith:2011:KZZR6ERYGUOCJDLE7UUKMYVEVN

not attested not anchored not stored refs pending

Obstruction-flat asymptotically locally Euclidean metrics

Antonio Ache, Jeff Viaclovsky

arxiv:1106.1249 v2 · 2011-06-07 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZZR6ERYGUOCJDLE7UUKMYVEVN}

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	2026-05-18T04:11:28.537457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56731f1238351c248d64fd28a662a4ab73b64918a13b86328c4bd77399e306fa

Aliases

arxiv: 1106.1249 · arxiv_version: 1106.1249v2 · doi: 10.48550/arxiv.1106.1249 · pith_short_12: KZZR6ERYGUOC · pith_short_16: KZZR6ERYGUOCJDLE · pith_short_8: KZZR6ERY

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/KZZR6ERYGUOCJDLE7UUKMYVEVN \
  | 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: 56731f1238351c248d64fd28a662a4ab73b64918a13b86328c4bd77399e306fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e805b7cd321109fafba2dd8e65a22f974651f1c78253cd06fde214fcc63521",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-07T02:19:35Z",
    "title_canon_sha256": "aab6d32c5ac675d950a029cc13606101ec24fe04b4ee76ee82254aa61c351515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1249",
    "kind": "arxiv",
    "version": 2
  }
}