Pith Number

pith:IH3KDQHG

pith:2019:IH3KDQHG57FXO7NPRYHHVPMV2X

not attested not anchored not stored refs pending

Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum

Misha Verbitsky

arxiv:1908.11772 v2 · 2019-08-30 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IH3KDQHG57FXO7NPRYHHVPMV2X}

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	2026-07-05T00:28:52.567977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f6a1c0e6efcb777daf8e0e7abd95d5da95c4845fee94dbc75b0ecef929b33e

Aliases

arxiv: 1908.11772 · arxiv_version: 1908.11772v2 · doi: 10.48550/arxiv.1908.11772 · pith_short_12: IH3KDQHG57FX · pith_short_16: IH3KDQHG57FXO7NP · pith_short_8: IH3KDQHG

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/IH3KDQHG57FXO7NPRYHHVPMV2X \
  | 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: 41f6a1c0e6efcb777daf8e0e7abd95d5da95c4845fee94dbc75b0ecef929b33e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a3cb4686cc4a96b964a359c384d7ad9554465803c94af0ea70869323f155a81",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-30T15:00:35Z",
    "title_canon_sha256": "2ff772e871cfd6c3d4ee919d15d84ccbd269e76b661fd1f5e74e2e663b6e8fef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11772",
    "kind": "arxiv",
    "version": 2
  }
}