Pith Number

pith:IFCPOOIZ

pith:2016:IFCPOOIZ7IOUVFMTLQRGK2DTD2

not attested not anchored not stored refs pending

On the perfection of schemes

Alessandra Bertapelle, Cristian D. Gonzalez-Aviles

arxiv:1611.02060 v1 · 2016-11-07 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFCPOOIZ7IOUVFMTLQRGK2DTD2}

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	2026-05-18T01:00:03.785460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4144f73919fa1d4a95935c226568731e82cb4d0f96fccb220f762ea4fe7324d5

Aliases

arxiv: 1611.02060 · arxiv_version: 1611.02060v1 · doi: 10.48550/arxiv.1611.02060 · pith_short_12: IFCPOOIZ7IOU · pith_short_16: IFCPOOIZ7IOUVFMT · pith_short_8: IFCPOOIZ

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/IFCPOOIZ7IOUVFMTLQRGK2DTD2 \
  | 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: 4144f73919fa1d4a95935c226568731e82cb4d0f96fccb220f762ea4fe7324d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30c049edbc0feb4841a72ca5516d84302682ddd524430af95caa3087066e4ed",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-07T14:08:57Z",
    "title_canon_sha256": "68227df9f3effacfe64662aed98461bf1b2903e7b66c7c58c0c7ee6e5a34a1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02060",
    "kind": "arxiv",
    "version": 1
  }
}