Pith Number

pith:2DU7A3ML

pith:2012:2DU7A3MLKAL5EGDDUO6JBESI7E

not attested not anchored not stored refs pending

On asymptotically harmonic manifolds of negative curvature

Andrea Sambusetti, Philippe Castillon (I3M)

arxiv:1203.2482 v1 · 2012-03-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DU7A3MLKAL5EGDDUO6JBESI7E}

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	2026-05-17T23:39:42.556017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e9f06d8b5017d21863a3bc909248f918dd4f3db42696b43dae4ffde1c86acc

Aliases

arxiv: 1203.2482 · arxiv_version: 1203.2482v1 · doi: 10.48550/arxiv.1203.2482 · pith_short_12: 2DU7A3MLKAL5 · pith_short_16: 2DU7A3MLKAL5EGDD · pith_short_8: 2DU7A3ML

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/2DU7A3MLKAL5EGDDUO6JBESI7E \
  | 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: d0e9f06d8b5017d21863a3bc909248f918dd4f3db42696b43dae4ffde1c86acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd25b029be6608caf5eabd196c1f2c95816155aee00433e832974f34c48cb2fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-12T13:31:03Z",
    "title_canon_sha256": "e8fddca23ce3e7fc4c4f1f4c7095ffee413da4ca51ca9e7ed28b49ddf0c8990d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2482",
    "kind": "arxiv",
    "version": 1
  }
}