Pith Number

pith:EMMFZN7P

pith:2026:EMMFZN7PAJ2UMAOE6X373CB4BT

not attested not anchored not stored refs pending

On a question of Koll\'ar and Kov\'acs

Jihao Liu

arxiv:2605.20585 v1 · 2026-05-20 · 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{EMMFZN7PAJ2UMAOE6X373CB4BT}

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	2026-05-21T01:04:43.517842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23185cb7ef02754601c4f5f7fd883c0cc75d6aa43bfe566b5a6b94e2eb50da1e

Aliases

arxiv: 2605.20585 · arxiv_version: 2605.20585v1 · doi: 10.48550/arxiv.2605.20585 · pith_short_12: EMMFZN7PAJ2U · pith_short_16: EMMFZN7PAJ2UMAOE · pith_short_8: EMMFZN7P

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/EMMFZN7PAJ2UMAOE6X373CB4BT \
  | 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: 23185cb7ef02754601c4f5f7fd883c0cc75d6aa43bfe566b5a6b94e2eb50da1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a34def5687cd3b430087eafc1e4dff4879a6b6259eac33da97feba10a91b07",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-20T00:48:24Z",
    "title_canon_sha256": "03180161ae98b0fe77d8f5ee9299ba097344b3147c1558e0140a51c9edbd7280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20585",
    "kind": "arxiv",
    "version": 1
  }
}