Pith Number

pith:TN7ZPA6H

pith:2010:TN7ZPA6HHJQTVUXEGE47UITHMN

not attested not anchored not stored refs pending

Towards bounded negativity of self-intersection on general blown-up projective planes

Claudio Fontanari

arxiv:1012.4989 v2 · 2010-12-22 · 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{TN7ZPA6HHJQTVUXEGE47UITHMN}

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	2026-05-18T04:31:43.334910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7f9783c73a613ad2e43139fa226763629b71b90a1a53ba343100d927aba9a2

Aliases

arxiv: 1012.4989 · arxiv_version: 1012.4989v2 · doi: 10.48550/arxiv.1012.4989 · pith_short_12: TN7ZPA6HHJQT · pith_short_16: TN7ZPA6HHJQTVUXE · pith_short_8: TN7ZPA6H

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/TN7ZPA6HHJQTVUXEGE47UITHMN \
  | 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: 9b7f9783c73a613ad2e43139fa226763629b71b90a1a53ba343100d927aba9a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4f60eaf5184a0cd75e18f34dbf1c96f651899cea1560f14b067ba6f68983d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-22T14:37:42Z",
    "title_canon_sha256": "9b4a95e4ab77e215718a5d2a71c4a788db3e3f183ef98a3081e463e48a493b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4989",
    "kind": "arxiv",
    "version": 2
  }
}