Pith Number

pith:QTPZQI3A

pith:2014:QTPZQI3AP5U7N3JCGVT5KLS2BX

not attested not anchored not stored refs pending

Commuting involutions on surfaces of general type with p_g=0 and K^2=7

Yifan Chen

arxiv:1404.4461 v1 · 2014-04-17 · 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{QTPZQI3AP5U7N3JCGVT5KLS2BX}

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	2026-05-18T02:54:04.303927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84df9823607f69f6ed223567d52e5a0dc371f19efe8c6039c2d2d08949e9e33b

Aliases

arxiv: 1404.4461 · arxiv_version: 1404.4461v1 · doi: 10.48550/arxiv.1404.4461 · pith_short_12: QTPZQI3AP5U7 · pith_short_16: QTPZQI3AP5U7N3JC · pith_short_8: QTPZQI3A

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/QTPZQI3AP5U7N3JCGVT5KLS2BX \
  | 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: 84df9823607f69f6ed223567d52e5a0dc371f19efe8c6039c2d2d08949e9e33b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732c398b0ced60836acc2c955f51502d67181bb417a5191da5f93cf6af67f328",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-17T09:34:08Z",
    "title_canon_sha256": "d69662b82379083856272fa80d39c959b38da796b918057a99c9a5fee3e1fa36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4461",
    "kind": "arxiv",
    "version": 1
  }
}