Pith Number

pith:KTVG4YBE

pith:2011:KTVG4YBEEPN36VRCI75UJUCL7L

not attested not anchored not stored refs pending

On the polar degree of projective hypersurfaces

Nivaldo Medeiros, Thiago Fassarella

arxiv:1108.2676 v2 · 2011-08-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTVG4YBEEPN36VRCI75UJUCL7L}

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	2026-05-18T02:58:00.617657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54ea6e602423dbbf562247fb44d04bfae5960255be2f814efe421dbdd4f2b345

Aliases

arxiv: 1108.2676 · arxiv_version: 1108.2676v2 · doi: 10.48550/arxiv.1108.2676 · pith_short_12: KTVG4YBEEPN3 · pith_short_16: KTVG4YBEEPN36VRC · pith_short_8: KTVG4YBE

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/KTVG4YBEEPN36VRCI75UJUCL7L \
  | 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: 54ea6e602423dbbf562247fb44d04bfae5960255be2f814efe421dbdd4f2b345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c955f6a314cd50aef827fa1b379d8032b67e7f8abdb92f60a8ec51f705bea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-12T17:57:31Z",
    "title_canon_sha256": "8201f1289cead8ce80f780abb0218f59af3303ca7b9ddd0bdbe521b4480ce7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2676",
    "kind": "arxiv",
    "version": 2
  }
}