Pith Number

pith:I2PO5LOU

pith:2015:I2PO5LOUHTGXKWAKU55OPMLOVC

not attested not anchored not stored refs pending

Lipschitz-Killing curvatures and polar images

Nicolas Dutertre (I2M)

arxiv:1512.02780 v1 · 2015-12-09 · math.AG · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2PO5LOUHTGXKWAKU55OPMLOVC}

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	2026-05-18T01:24:43.153466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469eeeadd43ccd75580aa77ae7b16ea883ea515ac1d63252b8bbcf0430c63c53

Aliases

arxiv: 1512.02780 · arxiv_version: 1512.02780v1 · doi: 10.48550/arxiv.1512.02780 · pith_short_12: I2PO5LOUHTGX · pith_short_16: I2PO5LOUHTGXKWAK · pith_short_8: I2PO5LOU

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/I2PO5LOUHTGXKWAKU55OPMLOVC \
  | 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: 469eeeadd43ccd75580aa77ae7b16ea883ea515ac1d63252b8bbcf0430c63c53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc334ac1be25c6dedb1e0a3d2d04dff43f572fd1fe8cd6e19900e15ac6dd9b6a",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-09T08:08:56Z",
    "title_canon_sha256": "3ffbfcf7174a44f11dd38e97c1ba7c4f7580d54fe3fbee30869d4347a38fc9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02780",
    "kind": "arxiv",
    "version": 1
  }
}