Pith Number

pith:AD23CSFV

pith:2021:AD23CSFVKUASBSCHY6KA6XRRGA

not attested not anchored not stored refs pending

Understanding the index theorems with massive fermions

Hidenori Fukaya

arxiv:2109.11147 v2 · 2021-09-23 · hep-th · hep-lat · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AD23CSFVKUASBSCHY6KA6XRRGA}

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

Capturing the Atiyah-Patodi-Singer index from the lattice

Receipt and verification

First computed	2026-07-05T03:42:23.316228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f5b148b5550120c847c7940f5e31303a38b21fbeb170d0f7bfaccb443f6b2e

Aliases

arxiv: 2109.11147 · arxiv_version: 2109.11147v2 · doi: 10.48550/arxiv.2109.11147 · pith_short_12: AD23CSFVKUAS · pith_short_16: AD23CSFVKUASBSCH · pith_short_8: AD23CSFV

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/AD23CSFVKUASBSCHY6KA6XRRGA \
  | 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: 00f5b148b5550120c847c7940f5e31303a38b21fbeb170d0f7bfaccb443f6b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614340cced48e7b8c162bed1552b660444a21938bc3dae6d4e5167f4c4504477",
    "cross_cats_sorted": [
      "hep-lat",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-23T05:19:54Z",
    "title_canon_sha256": "e67dc7a5ca378ea5183ebb89d07770f45ff0e97d79ee21d3433c6f38c2105ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.11147",
    "kind": "arxiv",
    "version": 2
  }
}