Pith Number

pith:TN73UP7X

pith:2006:TN73UP7X44JVBUAFMEHVNNEGXV

not attested not anchored not stored refs pending

The effects of quantum instantons on the thermodynamics of the CP^(N-1) model

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

arxiv:hep-th/0602082 v2 · 2006-02-08 · hep-th · 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{TN73UP7X44JVBUAFMEHVNNEGXV}

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	2026-07-04T15:19:57.247441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7fba3ff7e71350d005610f56b486bd5bcbddf95cf7f4298e2507ccefcfef78

Aliases

arxiv: hep-th/0602082 · arxiv_version: hep-th/0602082v2 · doi: 10.48550/arxiv.hep-th/0602082 · pith_short_12: TN73UP7X44JV · pith_short_16: TN73UP7X44JVBUAF · pith_short_8: TN73UP7X

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/TN73UP7X44JVBUAFMEHVNNEGXV \
  | 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: 9b7fba3ff7e71350d005610f56b486bd5bcbddf95cf7f4298e2507ccefcfef78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3a01a5d09b832bfe8993f5ddab796b824e9a843e28fcf50c67dfee380e990a",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-02-08T16:30:27Z",
    "title_canon_sha256": "623137034cf06b129b14fcc2c3f15a6fbbb67e2e75965f19fd292f028582480e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0602082",
    "kind": "arxiv",
    "version": 2
  }
}