Pith Number

pith:TYKKQJX6

pith:2015:TYKKQJX6ZUHTFNTPWJOYGL7ZXV

not attested not anchored not stored refs pending

Higher Groupoid Actions, Bibundles, and Differentiation

Du Li

arxiv:1512.04209 v1 · 2015-12-14 · 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{TYKKQJX6ZUHTFNTPWJOYGL7ZXV}

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

Automorphisms of Lie groupoids and symplectic reduction on orbifolds

Receipt and verification

First computed	2026-05-18T01:24:22.833477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e14a826fecd0f32b66fb25d832ff9bd7477868a22cea83452fa75c03cae0463

Aliases

arxiv: 1512.04209 · arxiv_version: 1512.04209v1 · doi: 10.48550/arxiv.1512.04209 · pith_short_12: TYKKQJX6ZUHT · pith_short_16: TYKKQJX6ZUHTFNTP · pith_short_8: TYKKQJX6

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/TYKKQJX6ZUHTFNTPWJOYGL7ZXV \
  | 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: 9e14a826fecd0f32b66fb25d832ff9bd7477868a22cea83452fa75c03cae0463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18674f6161d8dda610a20fbad1bbb355108b43acd1eb71d351d441027d5a5598",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-14T07:59:51Z",
    "title_canon_sha256": "206b68ea4cbbf12c84a96ccfc4f8e4d2ad9556b011ec1db41c463c7634797f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04209",
    "kind": "arxiv",
    "version": 1
  }
}