Pith Number

pith:O2RLFW5A

pith:2022:O2RLFW5A57J2XKEVBZTO6O6AXO

not attested not anchored not stored refs pending

Derived Lie $\infty$-groupoids and algebroids in higher differential geometry

Qingyun Zeng

arxiv:2210.05856 v2 · 2022-10-12 · math.DG · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2RLFW5A57J2XKEVBZTO6O6AXO}

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	2026-07-05T11:19:17.446441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a2b2dba0efd3aba8950e66ef3bc0bb9e1882834ba91b4c660208d83bca9a95

Aliases

arxiv: 2210.05856 · arxiv_version: 2210.05856v2 · doi: 10.48550/arxiv.2210.05856 · pith_short_12: O2RLFW5A57J2 · pith_short_16: O2RLFW5A57J2XKEV · pith_short_8: O2RLFW5A

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/O2RLFW5A57J2XKEVBZTO6O6AXO \
  | 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: 76a2b2dba0efd3aba8950e66ef3bc0bb9e1882834ba91b4c660208d83bca9a95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8e2af5f70ba22e68674585d90367ceb3a0430110e70fd497efa1212ad23141",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-10-12T01:44:39Z",
    "title_canon_sha256": "162baa195e6b5ddea4b18fd8ef32e6245a88bfa3496c8d8bc6368a37f7b17e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.05856",
    "kind": "arxiv",
    "version": 2
  }
}