Pith Number

pith:TIZFY2V5

pith:2025:TIZFY2V5VU6F3BHSB45UOPCGJJ

not attested not anchored not stored refs pending

Prekosmic Grothendieck/Galois Categories

Jaehyeok Lee

arxiv:2504.20949 v1 · 2025-04-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIZFY2V5VU6F3BHSB45UOPCGJJ}

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	2026-07-05T10:55:52.028372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a325c6abdad3c5d84f20f3b473c464a5da3b2a6c5875bf88be9a1dab7a0df74

Aliases

arxiv: 2504.20949 · arxiv_version: 2504.20949v1 · doi: 10.48550/arxiv.2504.20949 · pith_short_12: TIZFY2V5VU6F · pith_short_16: TIZFY2V5VU6F3BHS · pith_short_8: TIZFY2V5

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/TIZFY2V5VU6F3BHSB45UOPCGJJ \
  | 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: 9a325c6abdad3c5d84f20f3b473c464a5da3b2a6c5875bf88be9a1dab7a0df74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e691e61597edd506a25ce6e78831c25266ad9651915e827890e6c926175c6601",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-29T17:15:40Z",
    "title_canon_sha256": "16fc3e9d776c7d761fbb48b27b085eaf1cff9e12c0a8bada0a04f174b290813e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20949",
    "kind": "arxiv",
    "version": 1
  }
}