Pith Number

pith:GGPNSJLV

pith:2026:GGPNSJLVFXLSCYA34LL5STAAHV

not attested not anchored not stored refs pending

Naive atoms of blowups: examples

Christian B\"ohning, Hans-Christian Graf von Bothmer, Zac Su'a

arxiv:2606.17884 v1 · 2026-06-16 · 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{GGPNSJLVFXLSCYA34LL5STAAHV}

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	2026-06-19T16:10:42.630405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319ed925752dd721601be2d7d94c003d4dfa1ff927b401c02824b27699b9f8e5

Aliases

arxiv: 2606.17884 · arxiv_version: 2606.17884v1 · doi: 10.48550/arxiv.2606.17884 · pith_short_12: GGPNSJLVFXLS · pith_short_16: GGPNSJLVFXLSCYA3 · pith_short_8: GGPNSJLV

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/GGPNSJLVFXLSCYA34LL5STAAHV \
  | 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: 319ed925752dd721601be2d7d94c003d4dfa1ff927b401c02824b27699b9f8e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d455989ff3b5d4aa0cc301f05e730a70623f27c20e6b6c2ea9df0861afc1ec0c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-16T13:03:59Z",
    "title_canon_sha256": "cd6cf0b5192c4a9e9519d67cf6207627080b62e8db44295f33684bb8a18e8e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17884",
    "kind": "arxiv",
    "version": 1
  }
}