Pith Number

pith:4EY7G2KX

pith:2017:4EY7G2KX56IPCY4X6GTORF7H3T

not attested not anchored not stored refs pending

Global Koppelman formulas on (singular) projective varieties

Mats Andersson

arxiv:1703.09091 v2 · 2017-03-27 · 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{4EY7G2KX56IPCY4X6GTORF7H3T}

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	2026-05-18T00:13:07.705711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e131f36957ef90f16397f1a6e897e7dceea2091f28188544f90b516ed723f1bc

Aliases

arxiv: 1703.09091 · arxiv_version: 1703.09091v2 · doi: 10.48550/arxiv.1703.09091 · pith_short_12: 4EY7G2KX56IP · pith_short_16: 4EY7G2KX56IPCY4X · pith_short_8: 4EY7G2KX

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/4EY7G2KX56IPCY4X6GTORF7H3T \
  | 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: e131f36957ef90f16397f1a6e897e7dceea2091f28188544f90b516ed723f1bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756bf80a7b89cd69d2725fead500115a45b1143f031756f9276cce0c918e10c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-03-27T14:12:23Z",
    "title_canon_sha256": "bffa39f5c367dce2138fdd004df966c6face3a52ef115bcb76afd685933eecfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09091",
    "kind": "arxiv",
    "version": 2
  }
}