Pith Number

pith:WUCTA72G

pith:2009:WUCTA72GDPSDV3TWYFRLFDK2RW

not attested not anchored not stored refs pending

Onset of symmetry breaking by the functional RG method

J. Polonyi, K. Sailer, S. Nagy, V. Pangon

arxiv:0907.0144 v2 · 2009-07-01 · 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{WUCTA72GDPSDV3TWYFRLFDK2RW}

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	2026-05-18T02:24:55.238103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b505307f461be43aee76c162b28d5a8daa157e265cf97544b090a1d685eb576b

Aliases

arxiv: 0907.0144 · arxiv_version: 0907.0144v2 · doi: 10.48550/arxiv.0907.0144 · pith_short_12: WUCTA72GDPSD · pith_short_16: WUCTA72GDPSDV3TW · pith_short_8: WUCTA72G

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/WUCTA72GDPSDV3TWYFRLFDK2RW \
  | 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: b505307f461be43aee76c162b28d5a8daa157e265cf97544b090a1d685eb576b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede9b9c71e2f7b0ee0bc591cf263fd50f1dde838f2fc2fbafe9c0639c2d81ced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-07-01T13:34:39Z",
    "title_canon_sha256": "95696fc1c729312968e7348fc2460ac595ee07cf2452796704fa0a7ac46beeb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0144",
    "kind": "arxiv",
    "version": 2
  }
}