Pith Number

pith:SZXR6IFV

pith:2011:SZXR6IFV7EZ3AZMWGN5A4XBQZ7

not attested not anchored not stored refs pending

Intrinsic signs and lower bounds in real algebraic geometry

Andrei Teleman, Christian Okonek

arxiv:1112.3851 v3 · 2011-12-16 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZXR6IFV7EZ3AZMWGN5A4XBQZ7}

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	2026-05-18T04:01:39.265101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

966f1f20b5f933b06596337a0e5c30cfc19e0c8eee0cf63e76e222e7d2b7a4f9

Aliases

arxiv: 1112.3851 · arxiv_version: 1112.3851v3 · doi: 10.48550/arxiv.1112.3851 · pith_short_12: SZXR6IFV7EZ3 · pith_short_16: SZXR6IFV7EZ3AZMW · pith_short_8: SZXR6IFV

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/SZXR6IFV7EZ3AZMWGN5A4XBQZ7 \
  | 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: 966f1f20b5f933b06596337a0e5c30cfc19e0c8eee0cf63e76e222e7d2b7a4f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61804985d869923620e7f76ce01b7ac4385564b7c48f589df1a642c767360fe0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-16T15:33:28Z",
    "title_canon_sha256": "f449fc09acfbd2478c243417d8d1d82eb8a7f46d5432b43f859fbe3610d35436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3851",
    "kind": "arxiv",
    "version": 3
  }
}