Pith Number

pith:IR4FUQ5G

pith:2015:IR4FUQ5GM7ESSOJ56DUBMO74M2

not attested not anchored not stored refs pending

Koppelman formulas on affine cones over smooth projective complete intersections

Jean Ruppenthal, Richard L\"ark\"ang

arxiv:1509.00987 v2 · 2015-09-03 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IR4FUQ5GM7ESSOJ56DUBMO74M2}

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	2026-05-18T00:17:24.612426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44785a43a667c929393df0e8163bfc66833c92a684d7288f1b19728ff02658a0

Aliases

arxiv: 1509.00987 · arxiv_version: 1509.00987v2 · doi: 10.48550/arxiv.1509.00987 · pith_short_12: IR4FUQ5GM7ES · pith_short_16: IR4FUQ5GM7ESSOJ5 · pith_short_8: IR4FUQ5G

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/IR4FUQ5GM7ESSOJ56DUBMO74M2 \
  | 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: 44785a43a667c929393df0e8163bfc66833c92a684d7288f1b19728ff02658a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dbbf2e567b5257d321e25edd58596bcb5f9c5bbdd0c3ed78677e19c568042b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-03T08:47:06Z",
    "title_canon_sha256": "4113c840fb4ac06188dc1139f2bce377f474186ada928114ff3d068292f2c568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00987",
    "kind": "arxiv",
    "version": 2
  }
}