Pith Number

pith:COYZR6NI

pith:1999:COYZR6NIJDHNYVNEV7CPHAZP5N

not attested not anchored not stored refs pending

Localization of elementary systems in the theory of Wigner

Pablo Ramacher

arxiv:math/9909112 v1 · 1999-09-20 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COYZR6NIJDHNYVNEV7CPHAZP5N}

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	2026-05-18T01:38:22.367969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b198f9a848cedc55a4afc4f3832feb7f225a298e11412982fdd435eec737a9

Aliases

arxiv: math/9909112 · arxiv_version: math/9909112v1 · doi: 10.48550/arxiv.math/9909112 · pith_short_12: COYZR6NIJDHN · pith_short_16: COYZR6NIJDHNYVNE · pith_short_8: COYZR6NI

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/COYZR6NIJDHNYVNEV7CPHAZP5N \
  | 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: 13b198f9a848cedc55a4afc4f3832feb7f225a298e11412982fdd435eec737a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d9e2a80a1d880d40937fee04ee14a756fb91b0791f9e76f2b924dc03b58c5d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "1999-09-20T07:23:07Z",
    "title_canon_sha256": "032c0004dc7690d50fff9f99b3c55a8d349b21c9aa48cdb14a7c01e75894f67c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909112",
    "kind": "arxiv",
    "version": 1
  }
}