Pith Number

pith:26D6KZHV

pith:2011:26D6KZHV2JSZPN4WVOH5JC5GWC

not attested not anchored not stored refs pending

Borel Degenerations of Arithmetically Cohen-Macaulay curves in P^3

Gunnar Floystad, Margherita Roggero

arxiv:1111.2754 v2 · 2011-11-11 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26D6KZHV2JSZPN4WVOH5JC5GWC}

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	2026-05-18T01:03:41.256144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d787e564f5d26597b796ab8fd48ba6b0bb30bd139f4b88c1a1ac0722d2cf092c

Aliases

arxiv: 1111.2754 · arxiv_version: 1111.2754v2 · doi: 10.48550/arxiv.1111.2754 · pith_short_12: 26D6KZHV2JSZ · pith_short_16: 26D6KZHV2JSZPN4W · pith_short_8: 26D6KZHV

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/26D6KZHV2JSZPN4WVOH5JC5GWC \
  | 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: d787e564f5d26597b796ab8fd48ba6b0bb30bd139f4b88c1a1ac0722d2cf092c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a93c028cf32c6b199a63a9369a4e277b871215a8cb24befba3674f02b1811d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-11T14:34:05Z",
    "title_canon_sha256": "ab2307f41a57f5ea6db83c16cc7ae8762c117fc25a170dbe6dd29edf1cc9afdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2754",
    "kind": "arxiv",
    "version": 2
  }
}