Pith Number

pith:FUTRHR4O

pith:2004:FUTRHR4OBURTUBBS4EGFJF6G77

not attested not anchored not stored refs pending

Thermodynamics of O(N) sigma models: 1/N corrections

Daniel Boer, Harmen J. Warringa, Jens O. Andersen

arxiv:hep-ph/0408033 v1 · 2004-08-03 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUTRHR4OBURTUBBS4EGFJF6G77}

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	2026-07-04T16:48:20.699555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d2713c78e0d233a0432e10c5497c6ffdc5019ce73d76b508b9bc3c27d0ae58a

Aliases

arxiv: hep-ph/0408033 · arxiv_version: hep-ph/0408033v1 · doi: 10.48550/arxiv.hep-ph/0408033 · pith_short_12: FUTRHR4OBURT · pith_short_16: FUTRHR4OBURTUBBS · pith_short_8: FUTRHR4O

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/FUTRHR4OBURTUBBS4EGFJF6G77 \
  | 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: 2d2713c78e0d233a0432e10c5497c6ffdc5019ce73d76b508b9bc3c27d0ae58a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36f558e77acf5b57b9a5ca3dbfe74117f21d2aa065e243699ff9ab35bc1fcb70",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-08-03T12:09:19Z",
    "title_canon_sha256": "d4dbca9389d35a2c121b22c921ae5907d1bb713ff09962784721f940743dfed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0408033",
    "kind": "arxiv",
    "version": 1
  }
}