Pith Number

pith:UVRFG73H

pith:2012:UVRFG73HIKGHSHP34XRDHOQMYA

not attested not anchored not stored refs pending

Periodic Higgs subbundles in positive and mixed characteristic

Kang Zuo, Mao Sheng

arxiv:1206.4865 v3 · 2012-06-21 · 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{UVRFG73HIKGHSHP34XRDHOQMYA}

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	2026-05-18T03:34:14.067565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a562537f67428c791dfbe5e233ba0cc03ddc74b67972cf57789fd77133df77a0

Aliases

arxiv: 1206.4865 · arxiv_version: 1206.4865v3 · doi: 10.48550/arxiv.1206.4865 · pith_short_12: UVRFG73HIKGH · pith_short_16: UVRFG73HIKGHSHP3 · pith_short_8: UVRFG73H

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/UVRFG73HIKGHSHP34XRDHOQMYA \
  | 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: a562537f67428c791dfbe5e233ba0cc03ddc74b67972cf57789fd77133df77a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "922145c2b861f22c0498a1cb5b3c2d3ef79765e66897c7b70847d439922ea4ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-21T13:14:58Z",
    "title_canon_sha256": "f42c697c8292978b98fb266d8a42ed71d51b0f10bed0ec7785dadd6e31facc20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4865",
    "kind": "arxiv",
    "version": 3
  }
}