Pith Number

pith:JR7EUSWB

pith:2019:JR7EUSWBPBTHVCUAICRU5ZAYD4

not attested not anchored not stored refs pending

Comparison between "Parametrized homology via zigzag persistence" and "Refined homology in the presence of a real-valued continuous function"

Dan Burghelea

arxiv:1904.02626 v2 · 2019-04-04 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JR7EUSWBPBTHVCUAICRU5ZAYD4}

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	2026-05-17T23:48:39.207818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c7e4a4ac178667a8a8040a34ee4181f0d17bfd5d464e323dec7b2a9d370a8ce

Aliases

arxiv: 1904.02626 · arxiv_version: 1904.02626v2 · doi: 10.48550/arxiv.1904.02626 · pith_short_12: JR7EUSWBPBTH · pith_short_16: JR7EUSWBPBTHVCUA · pith_short_8: JR7EUSWB

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/JR7EUSWBPBTHVCUAICRU5ZAYD4 \
  | 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: 4c7e4a4ac178667a8a8040a34ee4181f0d17bfd5d464e323dec7b2a9d370a8ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9af0b42708f11ef92bb9d2d5c072f0eb9dfd51864701526ffb18bcb44e158151",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-04-04T15:55:59Z",
    "title_canon_sha256": "dbb681cca216054e16215ff66fd8d6a50425e40de4c98aa477370f0a1cf00ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02626",
    "kind": "arxiv",
    "version": 2
  }
}