Pith Number

pith:QHLWCIF3

pith:2026:QHLWCIF3W2L4EUL652YDT2UDQZ

not attested not anchored not stored refs pending

R-Twisting, Fibered Knots, and Gauge Theories

Shi Cheng

arxiv:2607.24037 v1 · 2026-07-27 · 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{QHLWCIF3W2L4EUL652YDT2UDQZ}

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	2026-07-28T01:23:42.381168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81d76120bbb697c2517eeeb039ea83866bece7a8bcc62bd4f49893c484a2e9d8

Aliases

arxiv: 2607.24037 · arxiv_version: 2607.24037v1 · doi: 10.48550/arxiv.2607.24037 · pith_short_12: QHLWCIF3W2L4 · pith_short_16: QHLWCIF3W2L4EUL6 · pith_short_8: QHLWCIF3

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/QHLWCIF3W2L4EUL652YDT2UDQZ \
  | 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: 81d76120bbb697c2517eeeb039ea83866bece7a8bcc62bd4f49893c484a2e9d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a827372bf33630734edef879c5671698f397c2c7f7778e7a3f82bebc648d46d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-27T06:20:20Z",
    "title_canon_sha256": "a0ec6ddfc191be192d8e5ca96379913a21c5d87c2e602ee75937ee5eb1993b03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24037",
    "kind": "arxiv",
    "version": 1
  }
}