Pith Number

pith:VUHWDGWW

pith:2015:VUHWDGWWPKD53UG5VJQHRK7J7D

not attested not anchored not stored refs pending

Periodic Cyclic Homology and Equivariant Gerbes

Jean-Louis Tu, Ping Xu

arxiv:1504.08064 v1 · 2015-04-30 · math.KT · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUHWDGWWPKD53UG5VJQHRK7J7D}

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	2026-05-18T02:17:23.412813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad0f619ad67a87ddd0ddaa6078abe9f8ff219c56b119859a1208be551f51922a

Aliases

arxiv: 1504.08064 · arxiv_version: 1504.08064v1 · doi: 10.48550/arxiv.1504.08064 · pith_short_12: VUHWDGWWPKD5 · pith_short_16: VUHWDGWWPKD53UG5 · pith_short_8: VUHWDGWW

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/VUHWDGWWPKD53UG5VJQHRK7J7D \
  | 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: ad0f619ad67a87ddd0ddaa6078abe9f8ff219c56b119859a1208be551f51922a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a659d9e488a9a3376fd90c2a713e262cdd587a77590580b311f87b179c882da0",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-04-30T02:59:29Z",
    "title_canon_sha256": "d9f784ffb6bfe52244dd21c56426df531928327c73a8a8fe26b89560804bc564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08064",
    "kind": "arxiv",
    "version": 1
  }
}