Pith Number

pith:XMA5LMA7

pith:2013:XMA5LMA7GIUPN6RJ53ZZKOMXOT

not attested not anchored not stored refs pending

Decomposition Theorems for Triple Spaces

Bernhard Kr\"otz, Henrik Schlichtkrull, Thomas Danielsen

arxiv:1301.0489 v1 · 2013-01-03 · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMA5LMA7GIUPN6RJ53ZZKOMXOT}

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	2026-05-18T02:28:48.373324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb01d5b01f3228f6fa29eef395399774eae751665f8336d2dc9242729bdabc71

Aliases

arxiv: 1301.0489 · arxiv_version: 1301.0489v1 · doi: 10.48550/arxiv.1301.0489 · pith_short_12: XMA5LMA7GIUP · pith_short_16: XMA5LMA7GIUPN6RJ · pith_short_8: XMA5LMA7

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/XMA5LMA7GIUPN6RJ53ZZKOMXOT \
  | 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: bb01d5b01f3228f6fa29eef395399774eae751665f8336d2dc9242729bdabc71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0e6f0b618e3862363e299b80dcc6312fc2087e8e09b1e4dd4d9791a3384500",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-03T16:02:58Z",
    "title_canon_sha256": "33f2bb9de3077ee1ccd91ebc82c407837436dbeb9307d23c590c08c07495c22a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0489",
    "kind": "arxiv",
    "version": 1
  }
}