Pith Number

pith:A3FI5HVY

pith:2022:A3FI5HVYH55NGPNHICASEZQFCJ

not attested not anchored not stored refs pending

Virtual localization revisited

Adeel A. Khan, Alexei Latyntsev, Charanya Ravi, Dhyan Aranha, Hyeonjun Park

arxiv:2207.01652 v3 · 2022-07-04 · 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{A3FI5HVYH55NGPNHICASEZQFCJ}

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.

Cited by

1 paper in Pith

Lectures on algebraic stacks

Receipt and verification

First computed	2026-07-05T10:51:17.359246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ca8e9eb83f7ad33da740812266051242c4747d7e3223f46c4ad6643cba691e

Aliases

arxiv: 2207.01652 · arxiv_version: 2207.01652v3 · doi: 10.48550/arxiv.2207.01652 · pith_short_12: A3FI5HVYH55N · pith_short_16: A3FI5HVYH55NGPNH · pith_short_8: A3FI5HVY

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/A3FI5HVYH55NGPNHICASEZQFCJ \
  | 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: 06ca8e9eb83f7ad33da740812266051242c4747d7e3223f46c4ad6643cba691e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d631a4af99eb546c58694ecf7f54dc8cbf7123c30945e7dacbfae4c937bb3ddd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-07-04T18:03:52Z",
    "title_canon_sha256": "bd705aa763cbca4a09f8656f3bc4e073821bfadba20f48f68a12917649474274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.01652",
    "kind": "arxiv",
    "version": 3
  }
}