Pith Number

pith:GTHAB22P

pith:2026:GTHAB22PEVKYFRJ7FSD2R3J3MQ

not attested not anchored not stored refs pending

Proxy smallness meets $t$-structures

Giovanna Le Gros, Michal Hrbek, Pat Lank, Sergio Pavon

arxiv:2605.26057 v1 · 2026-05-25 · math.AG · math.AC · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTHAB22PEVKYFRJ7FSD2R3J3MQ}

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	2026-05-26T02:05:25.161120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34ce00eb4f255582c53f2c87a8ed3b640ee700f69d7f3a22ef189269110675a3

Aliases

arxiv: 2605.26057 · arxiv_version: 2605.26057v1 · doi: 10.48550/arxiv.2605.26057 · pith_short_12: GTHAB22PEVKY · pith_short_16: GTHAB22PEVKYFRJ7 · pith_short_8: GTHAB22P

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/GTHAB22PEVKYFRJ7FSD2R3J3MQ \
  | 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: 34ce00eb4f255582c53f2c87a8ed3b640ee700f69d7f3a22ef189269110675a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4cc5f3bf990a7a25d50044b43aa56ed404cab68bea2789e87fb70e4e3a3dbec",
    "cross_cats_sorted": [
      "math.AC",
      "math.CT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-25T17:17:13Z",
    "title_canon_sha256": "fc5d4628665abae47e164f1d8530bf1dcfd71d39e114fdbc11b7bf923dcb344d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26057",
    "kind": "arxiv",
    "version": 1
  }
}