Pith Number

pith:EWHWRPM3

pith:2025:EWHWRPM34CNJ6FHVCXQGWXLBXA

not attested not anchored not stored refs pending

1-Uryson width and covers

Arka Banerjee, Hannah Alpert, Panos Papasoglu

arxiv:2505.21126 v2 · 2025-05-27 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWHWRPM34CNJ6FHVCXQGWXLBXA}

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	2026-07-05T11:55:19.625334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258f68bd9be09a9f14f515e06b5d61b836b1690372ebc5bdc27efc07838a95b8

Aliases

arxiv: 2505.21126 · arxiv_version: 2505.21126v2 · doi: 10.48550/arxiv.2505.21126 · pith_short_12: EWHWRPM34CNJ · pith_short_16: EWHWRPM34CNJ6FHV · pith_short_8: EWHWRPM3

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/EWHWRPM34CNJ6FHVCXQGWXLBXA \
  | 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: 258f68bd9be09a9f14f515e06b5d61b836b1690372ebc5bdc27efc07838a95b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff77032664017b8eb64a813d9dbbe655a20b7d2e770ff91ce79f4a181d7be79",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-05-27T12:44:42Z",
    "title_canon_sha256": "0269603608e6499aa8b009410616168086096c39f4605c16b3705c1c8f07f6fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21126",
    "kind": "arxiv",
    "version": 2
  }
}