Pith Number

pith:DF2ZWKAV

pith:2026:DF2ZWKAVOHUOJILCRGR66P3FEU

not attested not anchored not stored refs pending

Substitution and quotient of the isotropy group action

Shenglong Hu, Xin Li, Yu Wang

arxiv:2607.15069 v1 · 2026-07-16 · 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{DF2ZWKAVOHUOJILCRGR66P3FEU}

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	2026-07-17T01:22:07.889186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19759b281571e8e4a16289a3ef3f6525386f720c7a47afd4adfdb6728a948970

Aliases

arxiv: 2607.15069 · arxiv_version: 2607.15069v1 · doi: 10.48550/arxiv.2607.15069 · pith_short_12: DF2ZWKAVOHUO · pith_short_16: DF2ZWKAVOHUOJILC · pith_short_8: DF2ZWKAV

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/DF2ZWKAVOHUOJILCRGR66P3FEU \
  | 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: 19759b281571e8e4a16289a3ef3f6525386f720c7a47afd4adfdb6728a948970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48057fb52ba4ca52920e3591ca7df3478de7d8efde3c76b463031ec20eb1b3d0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-16T14:43:28Z",
    "title_canon_sha256": "6e430600ccf4f2a3d3072b4da90311659b8690b39e2c380fc13a1e51532f0494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15069",
    "kind": "arxiv",
    "version": 1
  }
}