Pith Number

pith:77JRUK6Z

pith:2008:77JRUK6ZATNFQQSMRB6GSHM2IW

not attested not anchored not stored refs pending

Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups

Viacheslav V. Nikulin

arxiv:0810.2945 v3 · 2008-10-16 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77JRUK6ZATNFQQSMRB6GSHM2IW}

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	2026-05-18T04:13:16.353884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd31a2bd904da58424c887c691d9a4596b36569486062fd50dff082fa8ceb21

Aliases

arxiv: 0810.2945 · arxiv_version: 0810.2945v3 · doi: 10.48550/arxiv.0810.2945 · pith_short_12: 77JRUK6ZATNF · pith_short_16: 77JRUK6ZATNFQQSM · pith_short_8: 77JRUK6Z

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/77JRUK6ZATNFQQSMRB6GSHM2IW \
  | 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: ffd31a2bd904da58424c887c691d9a4596b36569486062fd50dff082fa8ceb21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076f4fa4581ebb64589be0711f84e06336477b0e1802dbec441503370f7681f1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-16T15:28:36Z",
    "title_canon_sha256": "4f0cb60fe3dad4930ef82da46c9fb47c8c0f853cff9490ac085bccc725ff98f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2945",
    "kind": "arxiv",
    "version": 3
  }
}