Pith Number

pith:MUSACF2N

pith:2010:MUSACF2NYVHYN5UZUP5IIDDZAG

not attested not anchored not stored refs pending

New representations of pi and Dirac delta using the nonextensive-statistical-mechanics q-exponential function

C. Tsallis, M. Jauregui

arxiv:1003.4967 v3 · 2010-03-25 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUSACF2NYVHYN5UZUP5IIDDZAG}

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	2026-05-18T02:24:26.655289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

652401174dc54f86f699a3fa840c7901b8d17d05bf49b8f4b8eeeb8765cf01ec

Aliases

arxiv: 1003.4967 · arxiv_version: 1003.4967v3 · doi: 10.48550/arxiv.1003.4967 · pith_short_12: MUSACF2NYVHY · pith_short_16: MUSACF2NYVHYN5UZ · pith_short_8: MUSACF2N

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/MUSACF2NYVHYN5UZUP5IIDDZAG \
  | 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: 652401174dc54f86f699a3fa840c7901b8d17d05bf49b8f4b8eeeb8765cf01ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6dcf6266ed433cc6d8fa718089ecafb9fac2b6243ec10ff91604ad3927b0cb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-25T18:15:15Z",
    "title_canon_sha256": "bce264e1b5b3e4529d34484f7a552ddf21cdf448bf9ecd294126fb2a7df5b6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4967",
    "kind": "arxiv",
    "version": 3
  }
}