Pith Number

pith:53C2E75F

pith:2011:53C2E75F4SITQ7FBWOF3PQBDYZ

not attested not anchored not stored refs pending

Negative deformations of toric singularities that are smooth in codimension two

Klaus Altmann, Lars Kastner

arxiv:1109.3344 v1 · 2011-09-15 · 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{53C2E75F4SITQ7FBWOF3PQBDYZ}

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	2026-05-18T04:12:56.922409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec5a27fa5e491387ca1b38bb7c023c67ce735b2807402edcdbe714cc43f32e3

Aliases

arxiv: 1109.3344 · arxiv_version: 1109.3344v1 · doi: 10.48550/arxiv.1109.3344 · pith_short_12: 53C2E75F4SIT · pith_short_16: 53C2E75F4SITQ7FB · pith_short_8: 53C2E75F

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/53C2E75F4SITQ7FBWOF3PQBDYZ \
  | 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: eec5a27fa5e491387ca1b38bb7c023c67ce735b2807402edcdbe714cc43f32e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b43955fe6c386035ab07d2c9b1c6c2690db5a475ee74a794c220f16d1af32f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-15T13:19:22Z",
    "title_canon_sha256": "3a3a5e6554ae27d9b76d1f88d92a1ca9a99fdd38449bd1b639e73d9b80da95fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3344",
    "kind": "arxiv",
    "version": 1
  }
}