Pith Number

pith:3ELAMXYS

pith:2012:3ELAMXYSPFTOTG6PMAD6T2KLU7

not attested not anchored not stored refs pending

On log canonical inversion of adjunction

Christopher D. Hacon

arxiv:1202.0491 v1 · 2012-02-02 · 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{3ELAMXYSPFTOTG6PMAD6T2KLU7}

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	2026-05-18T04:03:18.040123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d916065f127966e99bcf6007e9e94ba7dca8078e0792f6bc66faab33bde36214

Aliases

arxiv: 1202.0491 · arxiv_version: 1202.0491v1 · doi: 10.48550/arxiv.1202.0491 · pith_short_12: 3ELAMXYSPFTO · pith_short_16: 3ELAMXYSPFTOTG6P · pith_short_8: 3ELAMXYS

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/3ELAMXYSPFTOTG6PMAD6T2KLU7 \
  | 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: d916065f127966e99bcf6007e9e94ba7dca8078e0792f6bc66faab33bde36214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f0256c359bd7bfb4374ff483c4d9b6a1cf2bed775a4fd56f5d0017f4f4edd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-02T17:10:25Z",
    "title_canon_sha256": "422e0644125f0910f15fe22ccd70741a9377a0f1fa39c7acc83280ad55c3a3a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0491",
    "kind": "arxiv",
    "version": 1
  }
}