Pith Number

pith:T6GKBCE6

pith:2006:T6GKBCE6LDKSMHWCPIKDJA5UZG

not attested not anchored not stored refs pending

Contraction of broken symmetries via Kac-Moody formalism

Jamil Daboul

arxiv:math-ph/0608008 v1 · 2006-08-02 · 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{T6GKBCE6LDKSMHWCPIKDJA5UZG}

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	2026-05-18T01:38:32.703640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f8ca0889e58d5261ec27a143483b4c99e79b39cd8e93227c888fe38e3fcad19

Aliases

arxiv: math-ph/0608008 · arxiv_version: math-ph/0608008v1 · doi: 10.48550/arxiv.math-ph/0608008 · pith_short_12: T6GKBCE6LDKS · pith_short_16: T6GKBCE6LDKSMHWC · pith_short_8: T6GKBCE6

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/T6GKBCE6LDKSMHWCPIKDJA5UZG \
  | 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: 9f8ca0889e58d5261ec27a143483b4c99e79b39cd8e93227c888fe38e3fcad19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b096bd596ef0d1f62a2f68523473920e17e747c6dc7bd20038c5004119a2bd89",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-08-02T15:20:26Z",
    "title_canon_sha256": "910df60c17c4fb0e5dfdc7a334afbc46569ed1f712a4e7c7fcd0ae031bb94f37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0608008",
    "kind": "arxiv",
    "version": 1
  }
}