Pith Number

pith:2JG7GU4R

pith:2020:2JG7GU4RJI6BXIKW3ENVXFX2RY

not attested not anchored not stored refs pending

$\epsilon$-net Induced Lazy Witness Complexes on Graphs

Debabrota Basu, Naheed Anjum Arafat, St\'ephane Bressan

arxiv:2009.13071 v1 · 2020-09-25 · cs.CG · 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{2JG7GU4RJI6BXIKW3ENVXFX2RY}

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	2026-07-05T01:38:26.268279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d24df353914a3c1ba156d91b5b96fa8e03b229eadd81ca25b6df3d2aeb7b7b3a

Aliases

arxiv: 2009.13071 · arxiv_version: 2009.13071v1 · doi: 10.48550/arxiv.2009.13071 · pith_short_12: 2JG7GU4RJI6B · pith_short_16: 2JG7GU4RJI6BXIKW · pith_short_8: 2JG7GU4R

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/2JG7GU4RJI6BXIKW3ENVXFX2RY \
  | 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: d24df353914a3c1ba156d91b5b96fa8e03b229eadd81ca25b6df3d2aeb7b7b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea60a1edb27030b167adbf05397eb1abfd85af7893452b9e2d9f88feb9f3109",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2020-09-25T07:11:17Z",
    "title_canon_sha256": "07a437d788b777f9be3002b80fd950bcfc1674dcd532214ae5f0e2ca6e4d2da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.13071",
    "kind": "arxiv",
    "version": 1
  }
}