Pith Number

pith:XQDX3ECS

pith:2025:XQDX3ECSSXKZQYKD6V3IGWTEEX

not attested not anchored not stored refs pending

Extended operational Chow group and Lefschetz (1,1)-theorem

Ananyo Dan, Inder Kaur

arxiv:2506.13220 v2 · 2025-06-16 · 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{XQDX3ECSSXKZQYKD6V3IGWTEEX}

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	2026-06-03T01:05:44.270433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc077d905295d5986143f576835a6425f77b9f7b4872eef959a7e62ae8a65d9b

Aliases

arxiv: 2506.13220 · arxiv_version: 2506.13220v2 · doi: 10.48550/arxiv.2506.13220 · pith_short_12: XQDX3ECSSXKZ · pith_short_16: XQDX3ECSSXKZQYKD · pith_short_8: XQDX3ECS

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/XQDX3ECSSXKZQYKD6V3IGWTEEX \
  | 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: bc077d905295d5986143f576835a6425f77b9f7b4872eef959a7e62ae8a65d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db7b15c22c999f81e3dcf470b0db48ea42bcb9fb8e36741f3fce567b9795104c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-16T08:19:53Z",
    "title_canon_sha256": "9b467d1f7457b2dbf1bc026661dec1b69903608d68e25376cf4e355cd2754700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13220",
    "kind": "arxiv",
    "version": 2
  }
}