Pith Number

pith:QEJDXJPE

pith:2016:QEJDXJPEO5Z7KLF4GTQ5RCO5JE

not attested not anchored not stored refs pending

Clockwork Goldstone Bosons

Aqeel Ahmed, Barry M. Dillon

arxiv:1612.04011 v4 · 2016-12-13 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEJDXJPEO5Z7KLF4GTQ5RCO5JE}

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	2026-05-18T00:26:57.636497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81123ba5e47773f52cbc34e1d889dd490cfad76a4ae3c1b7fdb27d7499345693

Aliases

arxiv: 1612.04011 · arxiv_version: 1612.04011v4 · doi: 10.48550/arxiv.1612.04011 · pith_short_12: QEJDXJPEO5Z7 · pith_short_16: QEJDXJPEO5Z7KLF4 · pith_short_8: QEJDXJPE

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/QEJDXJPEO5Z7KLF4GTQ5RCO5JE \
  | 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: 81123ba5e47773f52cbc34e1d889dd490cfad76a4ae3c1b7fdb27d7499345693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ccdf6187a22ee1d52924a7cd7e771345720fc62bc083eb9252253fad988e8cb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-12-13T03:27:25Z",
    "title_canon_sha256": "09eb22f63bf437e7f528cf244de621e0fde8f9246a2d55acaf405c6d3c4d1c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04011",
    "kind": "arxiv",
    "version": 4
  }
}