Pith Number

pith:O5JGG3ME

pith:2025:O5JGG3MEYXPIOG4YFQMCIAFOWR

not attested not anchored not stored refs pending

Equivariant periodic cyclic homology for ample groupoids

Christian Voigt, Francesco Pagliuca

arxiv:2506.06503 v2 · 2025-06-06 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5JGG3MEYXPIOG4YFQMCIAFOWR}

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	2026-07-01T14:23:06.042349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7752636d84c5de871b982c182400aeb47677e5fc72e38e7c3893313e7d09f70c

Aliases

arxiv: 2506.06503 · arxiv_version: 2506.06503v2 · doi: 10.48550/arxiv.2506.06503 · pith_short_12: O5JGG3MEYXPI · pith_short_16: O5JGG3MEYXPIOG4Y · pith_short_8: O5JGG3ME

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/O5JGG3MEYXPIOG4YFQMCIAFOWR \
  | 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: 7752636d84c5de871b982c182400aeb47677e5fc72e38e7c3893313e7d09f70c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f45955ffba75455f570887f2347ee5d2e816dd0105300b3f8018b9aeb095c1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-06-06T19:56:20Z",
    "title_canon_sha256": "f1f639f90a01724bd08f151e633c0d3c25f4d8e89210a1d5cc44518d1a7b7060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06503",
    "kind": "arxiv",
    "version": 2
  }
}