Pith Number

pith:US5F35DC

pith:2020:US5F35DCZDA3KKEYJSR3VXPIRP

not attested not anchored not stored refs pending

Stability of 2-Parameter Persistent Homology

Andrew J. Blumberg, Michael Lesnick

arxiv:2010.09628 v3 · 2020-10-19 · 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{US5F35DCZDA3KKEYJSR3VXPIRP}

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	2026-07-05T04:18:26.668628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ba5df462c8c1b528984ca3badde88bf84ddc342462d92a7d570971f2c8aa99

Aliases

arxiv: 2010.09628 · arxiv_version: 2010.09628v3 · doi: 10.48550/arxiv.2010.09628 · pith_short_12: US5F35DCZDA3 · pith_short_16: US5F35DCZDA3KKEY · pith_short_8: US5F35DC

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/US5F35DCZDA3KKEYJSR3VXPIRP \
  | 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: a4ba5df462c8c1b528984ca3badde88bf84ddc342462d92a7d570971f2c8aa99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dbf4f624c2974955f8361f7f183af21a14ba333f3084711a53094998b89233e",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-10-19T16:07:07Z",
    "title_canon_sha256": "81defcc603ecd768ad12556ff208c7a9e417b27b7be0a1b656f0b5486e5595bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.09628",
    "kind": "arxiv",
    "version": 3
  }
}