Pith Number

pith:I2XIL6V3

pith:2010:I2XIL6V3LFDK5TILHWBLSCAS7N

not attested not anchored not stored refs pending

Lefschetz trace formula for open adic spaces

Yoichi Mieda

arxiv:1011.1720 v2 · 2010-11-08 · 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{I2XIL6V3LFDK5TILHWBLSCAS7N}

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	2026-05-18T03:38:05.204580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ae85fabb5946aecd0b3d82b90812fb446bd163784bce4c38930fe41b7afd13

Aliases

arxiv: 1011.1720 · arxiv_version: 1011.1720v2 · doi: 10.48550/arxiv.1011.1720 · pith_short_12: I2XIL6V3LFDK · pith_short_16: I2XIL6V3LFDK5TIL · pith_short_8: I2XIL6V3

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/I2XIL6V3LFDK5TILHWBLSCAS7N \
  | 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: 46ae85fabb5946aecd0b3d82b90812fb446bd163784bce4c38930fe41b7afd13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d5b592f6cc5b50c4bceb784d1dcee33afeccf2e25df290e780ac7e46ad8428",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-08T07:41:30Z",
    "title_canon_sha256": "3e4d1aeb64d44833e9c2c0c7fa56adeded112fd7bbdcb91e2976f67f7cdcee60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1720",
    "kind": "arxiv",
    "version": 2
  }
}