Pith Number

pith:4PLI5KAM

pith:2016:4PLI5KAMLDDA3HMMNDE7XAOSAA

not attested not anchored not stored refs pending

Applications conformes {\`a} grande {\'e}chelle

Pierre Pansu

arxiv:1604.01195 v2 · 2016-04-05 · 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{4PLI5KAMLDDA3HMMNDE7XAOSAA}

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	2026-05-18T00:29:39.634296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d68ea80c58c60d9d8c68c9fb81d200248842f6db1a61088b05b5a90b7c5f9d

Aliases

arxiv: 1604.01195 · arxiv_version: 1604.01195v2 · doi: 10.48550/arxiv.1604.01195 · pith_short_12: 4PLI5KAMLDDA · pith_short_16: 4PLI5KAMLDDA3HMM · pith_short_8: 4PLI5KAM

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/4PLI5KAMLDDA3HMMNDE7XAOSAA \
  | 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: e3d68ea80c58c60d9d8c68c9fb81d200248842f6db1a61088b05b5a90b7c5f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b03d8b02ab4bedbeada217159cb7116bc2ccca573a9385cb85acaaf45b1e463a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-05T09:24:27Z",
    "title_canon_sha256": "a660ebaa7550a1ad8196246a552488e9d2204ac9beaacff0f2843657160ecc8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01195",
    "kind": "arxiv",
    "version": 2
  }
}