Pith Number

pith:HBYPUAOK

pith:2025:HBYPUAOK5PQXLPDU4AYSBTUYAF

not attested not anchored not stored refs pending

An Extended Soliton's Zero Modes

Hui Liu, Jarah Evslin

arxiv:2507.18922 v1 · 2025-07-25 · 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{HBYPUAOK5PQXLPDU4AYSBTUYAF}

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.

Cited by

1 paper in Pith

Spontaneous symmetry breaking on graphs and lattices

Receipt and verification

First computed	2026-07-05T11:43:16.251747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3870fa01caebe175bc74e03120ce98014dce25077cee9384e39ec622cf448ce4

Aliases

arxiv: 2507.18922 · arxiv_version: 2507.18922v1 · doi: 10.48550/arxiv.2507.18922 · pith_short_12: HBYPUAOK5PQX · pith_short_16: HBYPUAOK5PQXLPDU · pith_short_8: HBYPUAOK

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/HBYPUAOK5PQXLPDU4AYSBTUYAF \
  | 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: 3870fa01caebe175bc74e03120ce98014dce25077cee9384e39ec622cf448ce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1a0ab071a5b79044d0c4b8d31e437add252490674d8993d31d95163a7ed0f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-25T03:31:02Z",
    "title_canon_sha256": "52780e2db56c600de5760b9dcf22aad59882b7bf8c58c31a9aac5e1166ba54eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18922",
    "kind": "arxiv",
    "version": 1
  }
}