Pith Number

pith:RVNO2AW5

pith:2006:RVNO2AW5VKXVS7A6VBSBH4GD7D

not attested not anchored not stored refs pending

Differentiable Stacks and Gerbes

Kai Behrend, Ping Xu

arxiv:math/0605694 v2 · 2006-05-27 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVNO2AW5VKXVS7A6VBSBH4GD7D}

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

2 papers in Pith

Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries

Categorical Symmetries via Operator Algebras

Receipt and verification

First computed	2026-07-04T15:35:21.214765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d5aed02ddaaaf597c1ea86413f0c3f8f696747a3a96ce7bb99de17fa8e1f641

Aliases

arxiv: math/0605694 · arxiv_version: math/0605694v2 · doi: 10.48550/arxiv.math/0605694 · pith_short_12: RVNO2AW5VKXV · pith_short_16: RVNO2AW5VKXVS7A6 · pith_short_8: RVNO2AW5

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/RVNO2AW5VKXVS7A6VBSBH4GD7D \
  | 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: 8d5aed02ddaaaf597c1ea86413f0c3f8f696747a3a96ce7bb99de17fa8e1f641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca52ce9fa43edc4376ec1a3ac2406a3dbba4cd7b3cc3f054bb70a884e733c110",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2006-05-27T01:15:42Z",
    "title_canon_sha256": "2dca1995b7e22ed435bf7978c0c854f4acb2f8bc5d3d287f75c5a07ff8f5eef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605694",
    "kind": "arxiv",
    "version": 2
  }
}