Pith Number

pith:AA6CDK5M

pith:2011:AA6CDK5MUZEZPYZVXH5WJWTXQY

not attested not anchored not stored refs pending

Horizontal Symmetry: Bottom Up and Top Down

C.S. Lam

arxiv:1105.5166 v1 · 2011-05-25 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AA6CDK5MUZEZPYZVXH5WJWTXQY}

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	2026-05-18T04:21:13.086732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

003c21abaca64997e335b9fb64da778612db8bdda1671a2f7952413a5f529de5

Aliases

arxiv: 1105.5166 · arxiv_version: 1105.5166v1 · doi: 10.48550/arxiv.1105.5166 · pith_short_12: AA6CDK5MUZEZ · pith_short_16: AA6CDK5MUZEZPYZV · pith_short_8: AA6CDK5M

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/AA6CDK5MUZEZPYZVXH5WJWTXQY \
  | 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: 003c21abaca64997e335b9fb64da778612db8bdda1671a2f7952413a5f529de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03628518c1ca7d81a11f21256239479485363d130beacbfc4aef66a1051cc7d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-05-25T23:06:03Z",
    "title_canon_sha256": "1cb1b6a64d1d8ea86c60139c174ebfb2ae74d7992546820e61a57e1b377f5dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5166",
    "kind": "arxiv",
    "version": 1
  }
}