Pith Number

pith:XPWANRWU

pith:2012:XPWANRWU2ZTDW5YSFMTJKT2DLW

not attested not anchored not stored refs pending

Asymptotically hyperbolic manifolds with small mass

Anna Sakovich, Mattias Dahl, Romain Gicquaud

arxiv:1209.0154 v2 · 2012-09-02 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPWANRWU2ZTDW5YSFMTJKT2DLW}

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	2026-05-18T03:02:57.469630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbec06c6d4d6663b77122b26954f435dad298a723e6460b0ec25878c2e8ca981

Aliases

arxiv: 1209.0154 · arxiv_version: 1209.0154v2 · doi: 10.48550/arxiv.1209.0154 · pith_short_12: XPWANRWU2ZTD · pith_short_16: XPWANRWU2ZTDW5YS · pith_short_8: XPWANRWU

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/XPWANRWU2ZTDW5YSFMTJKT2DLW \
  | 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: bbec06c6d4d6663b77122b26954f435dad298a723e6460b0ec25878c2e8ca981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e047f247f5172b2e20d9009830cad034fe6dc8e97932f55ac182b33fa49ce99",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-02T07:44:09Z",
    "title_canon_sha256": "4d8abc9cfcfcaf3b442262c15f08872eb33ba3fb08b8f64290a58e911a090d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0154",
    "kind": "arxiv",
    "version": 2
  }
}