Pith Number

pith:MRMU4DZT

pith:1999:MRMU4DZTASLDMBV23K65HYDLEE

not attested not anchored not stored refs pending

Minkowski Bessel modes

Ulrich H. Gerlach

arxiv:gr-qc/9910097 v1 · 1999-10-26 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRMU4DZTASLDMBV23K65HYDLEE}

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	2026-05-18T04:37:56.901508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64594e0f3304963606badabdd3e06b210c1a4def5c8190768f4b08dcff9a0647

Aliases

arxiv: gr-qc/9910097 · arxiv_version: gr-qc/9910097v1 · doi: 10.48550/arxiv.gr-qc/9910097 · pith_short_12: MRMU4DZTASLD · pith_short_16: MRMU4DZTASLDMBV2 · pith_short_8: MRMU4DZT

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/MRMU4DZTASLDMBV23K65HYDLEE \
  | 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: 64594e0f3304963606badabdd3e06b210c1a4def5c8190768f4b08dcff9a0647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df1193f1746cfd68047204e6270e14310667cbb2a9bb4a569c383770c01ba2ab",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-26T18:47:19Z",
    "title_canon_sha256": "f7b000dcbe4892ceb71f1e0d35aa13cadd68adc16db20645379f8d080c535c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910097",
    "kind": "arxiv",
    "version": 1
  }
}