Pith Number

pith:NNRJO74S

pith:2026:NNRJO74SN7OH4HZ57OS6SQGTCP

not attested not anchored not stored refs pending

Saturation of algebraic surfaces

Agnieszka Bodzenta, Dario Wei{\ss}mann, Tomasz Pe{\l}ka

arxiv:2601.20621 v2 · 2026-01-28 · 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{NNRJO74SN7OH4HZ57OS6SQGTCP}

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	2026-06-01T01:03:48.673646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b62977f926fdc7e1f3dfba5e940d313cc56f4aa3874546ffde419a030064c49

Aliases

arxiv: 2601.20621 · arxiv_version: 2601.20621v2 · doi: 10.48550/arxiv.2601.20621 · pith_short_12: NNRJO74SN7OH · pith_short_16: NNRJO74SN7OH4HZ5 · pith_short_8: NNRJO74S

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/NNRJO74SN7OH4HZ57OS6SQGTCP \
  | 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: 6b62977f926fdc7e1f3dfba5e940d313cc56f4aa3874546ffde419a030064c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4bb740af0d015f7765283bcb1b084572793a8c93705344b328d4bbd63fa9f46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-01-28T13:53:46Z",
    "title_canon_sha256": "a260753fd11c6dc93138cdd3534e9578da41676e43a2e60a76e5c7f4ac004147"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.20621",
    "kind": "arxiv",
    "version": 2
  }
}