Pith Number

pith:X4BOWYXC

pith:2026:X4BOWYXCVJFAGBLV44E25FXHF7

not attested not anchored not stored refs pending

$A_3$-formality for pro-2 Demushkin groups

Ambrus P\'al, Gereon Quick

arxiv:2607.01028 v1 · 2026-07-01 · math.GR · math.AT · math.KT · 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{X4BOWYXCVJFAGBLV44E25FXHF7}

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	2026-07-02T01:18:26.474692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf02eb62e2aa4a030575e709ae96e72fe8d5b33bc18def1d633ab75b7c643019

Aliases

arxiv: 2607.01028 · arxiv_version: 2607.01028v1 · doi: 10.48550/arxiv.2607.01028 · pith_short_12: X4BOWYXCVJFA · pith_short_16: X4BOWYXCVJFAGBLV · pith_short_8: X4BOWYXC

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/X4BOWYXCVJFAGBLV44E25FXHF7 \
  | 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: bf02eb62e2aa4a030575e709ae96e72fe8d5b33bc18def1d633ab75b7c643019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c57da5dd4ecd5d60516218edfd08616050d32230883a66837d519578e6d959d2",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-01T14:59:14Z",
    "title_canon_sha256": "758606cfab511f18fae998a07d3c8855fa12a4fad6b2e0ab3ae818e9e006bf78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01028",
    "kind": "arxiv",
    "version": 1
  }
}