Pith Number

pith:36EHC7OP

pith:2012:36EHC7OPMQLDMODC26FPIHXYVE

not attested not anchored not stored refs pending

Analytic stacks and hyperbolicity

Giuseppe Tomassini, Simone Borghesi

arxiv:1201.2535 v2 · 2012-01-12 · math.CV · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36EHC7OPMQLDMODC26FPIHXYVE}

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	2026-05-18T03:18:08.391276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df88717dcf6416363862d78af41ef8a90076326dca6531328459e66561460471

Aliases

arxiv: 1201.2535 · arxiv_version: 1201.2535v2 · doi: 10.48550/arxiv.1201.2535 · pith_short_12: 36EHC7OPMQLD · pith_short_16: 36EHC7OPMQLDMODC · pith_short_8: 36EHC7OP

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/36EHC7OPMQLDMODC26FPIHXYVE \
  | 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: df88717dcf6416363862d78af41ef8a90076326dca6531328459e66561460471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0ce7de56622cb1cdc87e86cd4218b03271cf79848e9c6d9415ab203163375f",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-01-12T11:37:37Z",
    "title_canon_sha256": "8f81e8138e7d7c407a4188d0d81ade27289649565bba68a05b8f5982157e5804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2535",
    "kind": "arxiv",
    "version": 2
  }
}