Pith Number

pith:7DH34ZCF

pith:2008:7DH34ZCF43OKYUAEDEU3ZMPATR

not attested not anchored not stored refs pending

The GIT-stability of Polarised Varieties via discrepancy

Yuji Odaka

arxiv:0807.1716 v5 · 2008-07-10 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DH34ZCF43OKYUAEDEU3ZMPATR}

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	2026-05-18T03:49:58.777458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8cfbe6445e6dcac50041929bcb1e09c42fd6a967a26ae431c69aa0b8e55eed7

Aliases

arxiv: 0807.1716 · arxiv_version: 0807.1716v5 · doi: 10.48550/arxiv.0807.1716 · pith_short_12: 7DH34ZCF43OK · pith_short_16: 7DH34ZCF43OKYUAE · pith_short_8: 7DH34ZCF

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/7DH34ZCF43OKYUAEDEU3ZMPATR \
  | 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: f8cfbe6445e6dcac50041929bcb1e09c42fd6a967a26ae431c69aa0b8e55eed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5856984659a327752cbb4d6d85c92c94480b25deab85116bbcd8d0a33f3a5a7b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-10T18:27:41Z",
    "title_canon_sha256": "c755988020bc0699717e0b750929b4d681bd20da35f8172baaa708493b4f5d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1716",
    "kind": "arxiv",
    "version": 5
  }
}