Pith Number

pith:PNRL6CCO

pith:2018:PNRL6CCOBD2W3UVH4S5YX3MKMG

not attested not anchored not stored refs pending

Ends and simple coarse structures

Jerzy Dydak

arxiv:1801.09580 v4 · 2018-01-29 · math.MG · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNRL6CCOBD2W3UVH4S5YX3MKMG}

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	2026-05-18T00:22:38.891299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b62bf084e08f56dd2a7e4bb8bed8a61ac69c032e16ae6001e87be9da28cff85

Aliases

arxiv: 1801.09580 · arxiv_version: 1801.09580v4 · doi: 10.48550/arxiv.1801.09580 · pith_short_12: PNRL6CCOBD2W · pith_short_16: PNRL6CCOBD2W3UVH · pith_short_8: PNRL6CCO

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/PNRL6CCOBD2W3UVH4S5YX3MKMG \
  | 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: 7b62bf084e08f56dd2a7e4bb8bed8a61ac69c032e16ae6001e87be9da28cff85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2ccda7c25825baaa727486dbc459ce4e517d494375e5a7c974c795f88afdf6",
    "cross_cats_sorted": [
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-01-29T15:38:33Z",
    "title_canon_sha256": "e40bd45190abe84a41a7669f833ac91656015da6d8ca87d8d28783230d4524f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09580",
    "kind": "arxiv",
    "version": 4
  }
}