Pith Number

pith:PV4RKIL3

pith:2015:PV4RKIL3GAXGINKM7O5CR2ILB3

not attested not anchored not stored refs pending

Point-curve incidences in the complex plane

Adam Sheffer, Endre Szab\'o, Joshua Zahl

arxiv:1502.07003 v4 · 2015-02-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PV4RKIL3GAXGINKM7O5CR2ILB3}

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	2026-05-18T00:10:41.813054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7915217b302e64354cfbba28e90b0ec4a4cad5f6613c297bb620798ca7ac82

Aliases

arxiv: 1502.07003 · arxiv_version: 1502.07003v4 · doi: 10.48550/arxiv.1502.07003 · pith_short_12: PV4RKIL3GAXG · pith_short_16: PV4RKIL3GAXGINKM · pith_short_8: PV4RKIL3

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/PV4RKIL3GAXGINKM7O5CR2ILB3 \
  | 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: 7d7915217b302e64354cfbba28e90b0ec4a4cad5f6613c297bb620798ca7ac82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "640b82c64e1703d24b00e18e837d8a6c88c54a15f3a15ec7fb59a48b0526b3f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-24T23:18:50Z",
    "title_canon_sha256": "c7663658fa2da51a6ecba10fbc917f402ca18c26e83fb4cf0f3a836d63c56d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07003",
    "kind": "arxiv",
    "version": 4
  }
}