Pith Number

pith:5CC55P3D

pith:2014:5CC55P3D6RJHZ2MB6IMR3LRVYL

not attested not anchored not stored refs pending

On direct images of pluricanonical bundles

Christian Schnell, Mihnea Popa

arxiv:1405.6125 v2 · 2014-05-23 · 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{5CC55P3D6RJHZ2MB6IMR3LRVYL}

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	2026-05-18T01:22:22.158276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e885debf63f4527ce981f2191dae35c2c9f96984e363d26199ecff179812c20a

Aliases

arxiv: 1405.6125 · arxiv_version: 1405.6125v2 · doi: 10.48550/arxiv.1405.6125 · pith_short_12: 5CC55P3D6RJH · pith_short_16: 5CC55P3D6RJHZ2MB · pith_short_8: 5CC55P3D

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/5CC55P3D6RJHZ2MB6IMR3LRVYL \
  | 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: e885debf63f4527ce981f2191dae35c2c9f96984e363d26199ecff179812c20a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2491948dde914b0447d4d41e65afc1d70d38b1e52fbe8557e0aff0c3690fd21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-23T17:07:57Z",
    "title_canon_sha256": "16cac6e65d278cd0c9b300115b72f4d5cdd0f5855fc7a7d461f586b9280cebfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6125",
    "kind": "arxiv",
    "version": 2
  }
}