Pith Number

pith:3Z6MKGHT

pith:2005:3Z6MKGHTZOON73RZIF53G4VV75

not attested not anchored not stored refs pending

Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings

Wolfgang Bertram (IECN)

arxiv:math/0502168 v3 · 2005-02-08 · 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{3Z6MKGHTZOON73RZIF53G4VV75}

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

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory

Receipt and verification

First computed	2026-07-04T14:50:10.580864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7cc518f3cb9cdfee39417bb372b5ff5e59cf4bbeb23a695007a197c7b1ff08

Aliases

arxiv: math/0502168 · arxiv_version: math/0502168v3 · doi: 10.48550/arxiv.math/0502168 · pith_short_12: 3Z6MKGHTZOON · pith_short_16: 3Z6MKGHTZOON73RZ · pith_short_8: 3Z6MKGHT

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/3Z6MKGHTZOON73RZIF53G4VV75 \
  | 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: de7cc518f3cb9cdfee39417bb372b5ff5e59cf4bbeb23a695007a197c7b1ff08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a3e6fb5ef3cf6f20cdbbc1e1f81aa014cd5a1297ee69b9cddce352fd3e27867",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-02-08T16:12:32Z",
    "title_canon_sha256": "87a862789f150b17cf22cd1e35ab94767348cc4c309a5e4ecac844a46fe663f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502168",
    "kind": "arxiv",
    "version": 3
  }
}