Pith Number

pith:ZTT2FOLW

pith:2026:ZTT2FOLWZKMKCJLK475V4DAP2B

not attested not anchored not stored refs pending

Tree-Level Factorization Obstruction in Monopole Production

Hsing-Yi Lai, John Terning

arxiv:2608.05272 v1 · 2026-08-05 · hep-th · 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{ZTT2FOLWZKMKCJLK475V4DAP2B}

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	2026-08-07T00:46:39.223541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cce7a2b976ca98a1256ae7fb5e0c0fd05cd75738e1ed976ff2efba4d60626892

Aliases

arxiv: 2608.05272 · arxiv_version: 2608.05272v1 · doi: 10.48550/arxiv.2608.05272 · pith_short_12: ZTT2FOLWZKMK · pith_short_16: ZTT2FOLWZKMKCJLK · pith_short_8: ZTT2FOLW

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/ZTT2FOLWZKMKCJLK475V4DAP2B \
  | 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: cce7a2b976ca98a1256ae7fb5e0c0fd05cd75738e1ed976ff2efba4d60626892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60094a587c14d059bea0d39585afb6dbd472ceefe8e3bd247a1cb7cb4b7ebfe2",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-05T18:00:00Z",
    "title_canon_sha256": "81207dc9eea28e541e7c23dc2d8fc350cd4b6615632c63796ad30eaa8a504c05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05272",
    "kind": "arxiv",
    "version": 1
  }
}