Pith Number

pith:DV4L2SOE

pith:2010:DV4L2SOE2JLZ2BHMDGULV4KHQD

not attested not anchored not stored refs pending

Bergman kernels and subadjunction

Bo Berndtsson, Mihai P\u{a}un

arxiv:1002.4145 v1 · 2010-02-22 · 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{DV4L2SOE2JLZ2BHMDGULV4KHQD}

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	2026-05-18T02:42:29.414227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d78bd49c4d2579d04ec19a8baf14780d92ca1a6d3b28d8e11c0dc5a77cccadb

Aliases

arxiv: 1002.4145 · arxiv_version: 1002.4145v1 · doi: 10.48550/arxiv.1002.4145 · pith_short_12: DV4L2SOE2JLZ · pith_short_16: DV4L2SOE2JLZ2BHM · pith_short_8: DV4L2SOE

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/DV4L2SOE2JLZ2BHMDGULV4KHQD \
  | 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: 1d78bd49c4d2579d04ec19a8baf14780d92ca1a6d3b28d8e11c0dc5a77cccadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1937785cc70cac78d1820378ca6fecb115cbdfe32eefd48b74291a9a444dca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-22T16:30:30Z",
    "title_canon_sha256": "a8a4f6dba127bffb181310c21e804f0d80e7158170d39ef7ce9f59c3e5506291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4145",
    "kind": "arxiv",
    "version": 1
  }
}