Pith Number

pith:34EWEBDI

pith:2017:34EWEBDIFZJPN6DTS3NSJJFPD7

not attested not anchored not stored refs pending

The Representation Theorem of Persistent Homology Revisited and Generalized

Michael Kerber, Ren\'e Corbet

arxiv:1707.08864 v3 · 2017-07-27 · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34EWEBDIFZJPN6DTS3NSJJFPD7}

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	2026-05-18T00:04:39.955779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df096204682e52f6f87396db24a4af1fd4cd933201176dab494fbad5344eade7

Aliases

arxiv: 1707.08864 · arxiv_version: 1707.08864v3 · doi: 10.48550/arxiv.1707.08864 · pith_short_12: 34EWEBDIFZJP · pith_short_16: 34EWEBDIFZJPN6DT · pith_short_8: 34EWEBDI

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/34EWEBDIFZJPN6DTS3NSJJFPD7 \
  | 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: df096204682e52f6f87396db24a4af1fd4cd933201176dab494fbad5344eade7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b8053a31c34c0c3b006fbec24f46b4ad777b15ca165ac7efd99741f441d87f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-27T13:46:19Z",
    "title_canon_sha256": "b22457f29a9377a3201f44c5482b0ebc395ee9cca5a8bd045dd6dcb5f9d0bb88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08864",
    "kind": "arxiv",
    "version": 3
  }
}