Pith Number

pith:ANLIH3G7

pith:2016:ANLIH3G7Z6Z5XJHHH2JIEEJS46

not attested not anchored not stored refs pending

Additivity of the rho map on the topological structure group

Paolo Piazza, Vito Felice Zenobi

arxiv:1607.07075 v2 · 2016-07-24 · math.KT · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANLIH3G7Z6Z5XJHHH2JIEEJS46}

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	2026-05-18T00:50:29.378092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

035683ecdfcfb3dba4e73e92821132e78e91633e7d9d9520124b750cc16a7bd1

Aliases

arxiv: 1607.07075 · arxiv_version: 1607.07075v2 · doi: 10.48550/arxiv.1607.07075 · pith_short_12: ANLIH3G7Z6Z5 · pith_short_16: ANLIH3G7Z6Z5XJHH · pith_short_8: ANLIH3G7

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/ANLIH3G7Z6Z5XJHHH2JIEEJS46 \
  | 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: 035683ecdfcfb3dba4e73e92821132e78e91633e7d9d9520124b750cc16a7bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce427fd156a52b0e695e06d416598e52d830b613217a10a1688f2132c6cc871",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-07-24T18:04:31Z",
    "title_canon_sha256": "1ee420925f76b4e7c024e6cac99d044d5d86a26977a2bd41c47f3c1bba7caee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07075",
    "kind": "arxiv",
    "version": 2
  }
}