Pith Number

pith:WHWLNU33

pith:2012:WHWLNU33XOQFQAWDLHZ4FLF6WA

not attested not anchored not stored refs pending

Vacuum Polarization and Dynamical Chiral Symmetry Breaking: Phase Diagram of QED with Four-Fermion Contact Interaction

A. Bashir, B. Masud, C. Calcaneo-Roldan, F. Akram, J. Rodriguez-Quintero, L.X. Gutierrez-Guerrero, M.E. Tejeda-Yeomans

arxiv:1209.1292 v1 · 2012-09-06 · hep-ph · nucl-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{WHWLNU33XOQFQAWDLHZ4FLF6WA}

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	2026-05-18T03:22:27.614158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1ecb6d37bbba05802c359f3c2acbeb019e5442742c0eacf84b1fddf3dc0c742

Aliases

arxiv: 1209.1292 · arxiv_version: 1209.1292v1 · doi: 10.48550/arxiv.1209.1292 · pith_short_12: WHWLNU33XOQF · pith_short_16: WHWLNU33XOQFQAWD · pith_short_8: WHWLNU33

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/WHWLNU33XOQFQAWDLHZ4FLF6WA \
  | 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: b1ecb6d37bbba05802c359f3c2acbeb019e5442742c0eacf84b1fddf3dc0c742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac0488acbd0ab137f17c70726022dd17d3469b9e5adf095ff9d0af95cd8c38b",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-09-06T14:31:00Z",
    "title_canon_sha256": "8883a53258b7af632497d96614db1483c4f4c778c7f415e43427ba0cbdd13a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1292",
    "kind": "arxiv",
    "version": 1
  }
}