Pith Number

pith:ICR4RB7X

pith:2025:ICR4RB7XVZACQ4Y3PDTD73JUVF

not attested not anchored not stored refs pending

Virtual fibring of Poincar\'e-duality groups

Dawid Kielak, Giovanni Italiano, Sam P. Fisher

arxiv:2506.14666 v1 · 2025-06-17 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICR4RB7XVZACQ4Y3PDTD73JUVF}

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

3 papers in Pith

Outer automorphism groups and the Atiyah Conjecture

Quasimorphisms and Poincar\'e duality in dimension 3

Some closed manifolds that do not fibre over the circle

Receipt and verification

First computed	2026-07-05T11:23:00.428951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40a3c887f7ae4028731b78e63fed34a96951f9fd65fc5e4f4185cefc2c7775bd

Aliases

arxiv: 2506.14666 · arxiv_version: 2506.14666v1 · doi: 10.48550/arxiv.2506.14666 · pith_short_12: ICR4RB7XVZAC · pith_short_16: ICR4RB7XVZACQ4Y3 · pith_short_8: ICR4RB7X

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/ICR4RB7XVZACQ4Y3PDTD73JUVF \
  | 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: 40a3c887f7ae4028731b78e63fed34a96951f9fd65fc5e4f4185cefc2c7775bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aae0bbce0a159c8dedb28b05b1e7d12a1ef9d26d0b920b4e0da04ee7aa7d30bc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-06-17T15:57:09Z",
    "title_canon_sha256": "04ebd2b59a63141206dabb03d0eada918d6619fa55258873e49aed5050bc4cda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14666",
    "kind": "arxiv",
    "version": 1
  }
}