Pith Number

pith:V6DGSM3P

pith:2022:V6DGSM3PTUGSHJOVS25GP57XTW

not attested not anchored not stored refs pending

Algebraic fundamental groups of fake projective planes

Matthew Stover

arxiv:2205.13991 v3 · 2022-05-27 · math.AG · math.GR · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6DGSM3PTUGSHJOVS25GP57XTW}

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.

Cited by

1 paper in Pith

Cohomological nonvanishing for algebraic fundamental groups of ball quotients

Receipt and verification

First computed	2026-07-05T07:49:28.304469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af8669336f9d0d23a5d596ba67f7f79d86c0dbab9c1c1bc13945e9e99084bdb9

Aliases

arxiv: 2205.13991 · arxiv_version: 2205.13991v3 · doi: 10.48550/arxiv.2205.13991 · pith_short_12: V6DGSM3PTUGS · pith_short_16: V6DGSM3PTUGSHJOV · pith_short_8: V6DGSM3P

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/V6DGSM3PTUGSHJOVS25GP57XTW \
  | 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: af8669336f9d0d23a5d596ba67f7f79d86c0dbab9c1c1bc13945e9e99084bdb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa214a32376e6c16a1905add64a9ef6e7cc8df3b184c907a4fd473d388327ec",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-05-27T14:07:26Z",
    "title_canon_sha256": "759f81ce27e1c0f18fb67c8fe121c5ceb57b992d2ae1e95aecf96bb34c7eff49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.13991",
    "kind": "arxiv",
    "version": 3
  }
}