Pith Number

pith:PQN7EZFT

pith:2006:PQN7EZFTJYZJBHOLMX64FCSBUL

not attested not anchored not stored refs pending

A note on Positivity of the CM line bundle

J. Fine, J. Ross

arxiv:math/0605302 v2 · 2006-05-11 · 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{PQN7EZFTJYZJBHOLMX64FCSBUL}

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	2026-05-18T00:48:03.601179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1bf264b34e32909dcb65fdc28a41a2f561ff8f4e5330a7b050514aa83db07c

Aliases

arxiv: math/0605302 · arxiv_version: math/0605302v2 · doi: 10.48550/arxiv.math/0605302 · pith_short_12: PQN7EZFTJYZJ · pith_short_16: PQN7EZFTJYZJBHOL · pith_short_8: PQN7EZFT

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/PQN7EZFTJYZJBHOLMX64FCSBUL \
  | 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: 7c1bf264b34e32909dcb65fdc28a41a2f561ff8f4e5330a7b050514aa83db07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce93bf258631506495745b54af3fa694b3ce3e7192c281b749cb725118439317",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-05-11T14:13:01Z",
    "title_canon_sha256": "599963b8402420ccfc2de0578e742382b1ad50ca3fac158de5581966e3ec85ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605302",
    "kind": "arxiv",
    "version": 2
  }
}