Pith Number

pith:MJG57WYS

pith:2000:MJG57WYSX6VAX2MX43KV2VUO7F

not attested not anchored not stored refs pending

The Pin Groups in Physics: C, P, and T

C. DeWitt-Morette, E. Kramer, M. Berg, S. Gwo

arxiv:math-ph/0012006 v1 · 2000-12-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJG57WYSX6VAX2MX43KV2VUO7F}

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	2026-05-18T02:35:38.805795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

624ddfdb12bfaa0be997e6d55d568ef96b491df8a135c39c756d666b575fd1dc

Aliases

arxiv: math-ph/0012006 · arxiv_version: math-ph/0012006v1 · doi: 10.48550/arxiv.math-ph/0012006 · pith_short_12: MJG57WYSX6VA · pith_short_16: MJG57WYSX6VAX2MX · pith_short_8: MJG57WYS

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/MJG57WYSX6VAX2MX43KV2VUO7F \
  | 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: 624ddfdb12bfaa0be997e6d55d568ef96b491df8a135c39c756d666b575fd1dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2686ac63c9fe11af19c402861f16deb7fa369c8974c22a57edbe7f32557a4a8e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-12-06T17:22:25Z",
    "title_canon_sha256": "502c5dfda1fe694886b406732eed44ed8e33d9cda618f981b52cab7180593d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0012006",
    "kind": "arxiv",
    "version": 1
  }
}