Pith Number

pith:YD4CBH23

pith:2012:YD4CBH23UTSMOIDE5Q62UWYBRP

not attested not anchored not stored refs pending

Flat deformations of ${\mathbb P}^n$

Carolina Araujo, Jos\'e J. Ram\'on-Mar\'i

arxiv:1212.3593 v1 · 2012-12-14 · 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{YD4CBH23UTSMOIDE5Q62UWYBRP}

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	2026-05-18T03:38:24.219242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f8209f5ba4e4c72064ec3daa5b018bc49f61a2f029f07a32210e7bd194b638

Aliases

arxiv: 1212.3593 · arxiv_version: 1212.3593v1 · doi: 10.48550/arxiv.1212.3593 · pith_short_12: YD4CBH23UTSM · pith_short_16: YD4CBH23UTSMOIDE · pith_short_8: YD4CBH23

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/YD4CBH23UTSMOIDE5Q62UWYBRP \
  | 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: c0f8209f5ba4e4c72064ec3daa5b018bc49f61a2f029f07a32210e7bd194b638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "769a85edb33d76d045ee8b919aca25803d134f2fb3725cae21acac46aea23677",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-14T20:44:55Z",
    "title_canon_sha256": "529d030bc1ea1f7063c2c4cf0dc917dd2fc6cf0609e6828661a0d450a1963f86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3593",
    "kind": "arxiv",
    "version": 1
  }
}