Pith Number

pith:QL6PKM52

pith:2003:QL6PKM52EOIY4S27CL4JJOVTQC

not attested not anchored not stored refs pending

The 2PPI expansion: dynamical mass generation and vacuum energy

D. Dudal, H. Verschelde, J. A. Gracey, R. E. Browne

arxiv:hep-th/0309241 v1 · 2003-09-26 · 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{QL6PKM52EOIY4S27CL4JJOVTQC}

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	2026-05-18T00:36:53.612669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82fcf533ba23918e4b5f12f894bab38089c8046c2a97de89e2b0392b19f37ee0

Aliases

arxiv: hep-th/0309241 · arxiv_version: hep-th/0309241v1 · doi: 10.48550/arxiv.hep-th/0309241 · pith_short_12: QL6PKM52EOIY · pith_short_16: QL6PKM52EOIY4S27 · pith_short_8: QL6PKM52

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/QL6PKM52EOIY4S27CL4JJOVTQC \
  | 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: 82fcf533ba23918e4b5f12f894bab38089c8046c2a97de89e2b0392b19f37ee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab127eb3e6e6997eb3c8b9087679575523192dcf0e8b16c90498f139d90aaf1b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-09-26T09:47:23Z",
    "title_canon_sha256": "5f7f193e0cc414fdc066ed051df433c146c2467666cb3602f59b68b4ee0838e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0309241",
    "kind": "arxiv",
    "version": 1
  }
}