Pith Number

pith:3QRTNDKT

pith:2026:3QRTNDKT73INYAD2TABM2JL4GE

not attested not anchored not stored refs pending

Fixing size and Fitting height

G\"ulin Ercan, \.Ismail \c{S}. G\"ulo\u{g}lu

arxiv:2606.07242 v1 · 2026-06-05 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QRTNDKT73INYAD2TABM2JL4GE}

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	2026-06-08T01:05:15.267671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc23368d53fed0dc007a9802cd257c311db0b6257800fba7becdce02aa5e93f6

Aliases

arxiv: 2606.07242 · arxiv_version: 2606.07242v1 · doi: 10.48550/arxiv.2606.07242 · pith_short_12: 3QRTNDKT73IN · pith_short_16: 3QRTNDKT73INYAD2 · pith_short_8: 3QRTNDKT

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/3QRTNDKT73INYAD2TABM2JL4GE \
  | 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: dc23368d53fed0dc007a9802cd257c311db0b6257800fba7becdce02aa5e93f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31293a25d417d18127616f3ccc60b4ee20d4fa0c8b2df783b4c7fc5809c65784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-05T13:09:38Z",
    "title_canon_sha256": "8e4de2a8be28e432bb9bb7f3413887c30d6ba8b6dedcbc3774a9a81073789a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07242",
    "kind": "arxiv",
    "version": 1
  }
}