Pith Number

pith:ZRJBQLMN

pith:2020:ZRJBQLMNNBTXAOSPE2QJUWI3T4

not attested not anchored not stored refs pending

On $C^0$-persistent homology and trees

Daniel Perez

arxiv:2012.02634 v3 · 2020-12-04 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRJBQLMNNBTXAOSPE2QJUWI3T4}

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.

Cited by

1 paper in Pith

Coarse nodal counts on sub-Riemannian manifolds

Receipt and verification

First computed	2026-07-05T04:12:34.080744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc52182d8d6867703a4f26a09a591b9f35d069fd8fbe5a5739fc458385eda0e0

Aliases

arxiv: 2012.02634 · arxiv_version: 2012.02634v3 · doi: 10.48550/arxiv.2012.02634 · pith_short_12: ZRJBQLMNNBTX · pith_short_16: ZRJBQLMNNBTXAOSP · pith_short_8: ZRJBQLMN

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/ZRJBQLMNNBTXAOSPE2QJUWI3T4 \
  | 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: cc52182d8d6867703a4f26a09a591b9f35d069fd8fbe5a5739fc458385eda0e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0964b56fd83fab2ab42a3540602ef181b4d31950e25ae3539bf039df86a9a18",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-12-04T14:50:00Z",
    "title_canon_sha256": "53db3cfa24852d74fa94219d53d15ece479c447621eef9e6f2b5303002d859ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.02634",
    "kind": "arxiv",
    "version": 3
  }
}