Pith Number

pith:BMPN4MBD

pith:2015:BMPN4MBDD5LWKUU7MMMLVMLIAJ

not attested not anchored not stored refs pending

Renyi entropy of the critical O(N) model

Anirbit Mukherjee

arxiv:1512.01226 v1 · 2015-12-03 · 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{BMPN4MBDD5LWKUU7MMMLVMLIAJ}

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	2026-05-18T01:25:18.672391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b1ede30231f5765529f6318bab168026fddb591cda4eec5782da2021d5496f9

Aliases

arxiv: 1512.01226 · arxiv_version: 1512.01226v1 · doi: 10.48550/arxiv.1512.01226 · pith_short_12: BMPN4MBDD5LW · pith_short_16: BMPN4MBDD5LWKUU7 · pith_short_8: BMPN4MBD

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/BMPN4MBDD5LWKUU7MMMLVMLIAJ \
  | 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: 0b1ede30231f5765529f6318bab168026fddb591cda4eec5782da2021d5496f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92fd4bd0ae24a2b0a04cf23a74c2b53389a2b196af1f540c8366e04d8bce4377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-03T20:56:16Z",
    "title_canon_sha256": "99eb2d548c31f6ee3ae11d68297356136b077ab35647c52c6bfdeec4528b0346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01226",
    "kind": "arxiv",
    "version": 1
  }
}