Pith Number

pith:WHEM6DZQ

pith:2003:WHEM6DZQCSOYAJGWK2LWKJQAFZ

not attested not anchored not stored refs pending

Thermodynamics of the O(N) Nonlinear Sigma Model in 1+1 Dimensions

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

arxiv:hep-ph/0309091 v2 · 2003-09-09 · 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{WHEM6DZQCSOYAJGWK2LWKJQAFZ}

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	2026-07-04T16:40:52.693078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1c8cf0f30149d8024d656976526002e4dc138d3a1abe04923ca4321fadf8b17

Aliases

arxiv: hep-ph/0309091 · arxiv_version: hep-ph/0309091v2 · doi: 10.48550/arxiv.hep-ph/0309091 · pith_short_12: WHEM6DZQCSOY · pith_short_16: WHEM6DZQCSOYAJGW · pith_short_8: WHEM6DZQ

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/WHEM6DZQCSOYAJGWK2LWKJQAFZ \
  | 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: b1c8cf0f30149d8024d656976526002e4dc138d3a1abe04923ca4321fadf8b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f51f6ee823bdaae7b7a7b7c57e42a12cb6373048c4aacbdd2af5557e0c418c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-09-09T10:32:23Z",
    "title_canon_sha256": "2e9fb967c7083579e9674d01050d99e694509bc3cf5c8014c79d441f1813d509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0309091",
    "kind": "arxiv",
    "version": 2
  }
}