Pith Number

pith:4I7FOIEH

pith:2022:4I7FOIEH4YNP54PWCHYLZELFIF

not attested not anchored not stored refs pending

The $\gamma$-support as a micro-support

Claude Viterbo, St\'ephane Guillermou, Tomohiro Asano, Vincent Humili\`ere, Yuichi Ike

arxiv:2211.13945 v2 · 2022-11-25 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4I7FOIEH4YNP54PWCHYLZELFIF}

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	2026-07-05T07:08:40.020828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23e572087e61afef1f611f0bc9165416391e41e73b07a6ea55db534c8ebffcf

Aliases

arxiv: 2211.13945 · arxiv_version: 2211.13945v2 · doi: 10.48550/arxiv.2211.13945 · pith_short_12: 4I7FOIEH4YNP · pith_short_16: 4I7FOIEH4YNP54PW · pith_short_8: 4I7FOIEH

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/4I7FOIEH4YNP54PWCHYLZELFIF \
  | 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: e23e572087e61afef1f611f0bc9165416391e41e73b07a6ea55db534c8ebffcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e059e58d0a278913ae8942c4b6556923b536064d29827af7c9a05092c31a486",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2022-11-25T08:07:15Z",
    "title_canon_sha256": "80fbf664c7acba4b9c2f9cf334dbfec5fbede7fad2b5f67ad9a5f46c240bd54a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13945",
    "kind": "arxiv",
    "version": 2
  }
}