pith. sign in
Pith Number

pith:N4UIF5DM

pith:2010:N4UIF5DMKP7PUEMEDWKK4LOP5Y
not attested not anchored not stored refs pending

Character Expansions in Physics

A.B. Balantekin (Wisconsin U., Madison)

arxiv:1011.3859 v1 · 2010-11-17 · math-ph · hep-th · math.MP · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N4UIF5DMKP7PUEMEDWKK4LOP5Y}

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 2026-05-18T04:20:24.837081Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6f2882f46c53fefa11841d94ae2dcfee1238bdfcfc0d5fdcc771d54ebed38583

Aliases

arxiv: 1011.3859 · arxiv_version: 1011.3859v1 · doi: 10.48550/arxiv.1011.3859 · pith_short_12: N4UIF5DMKP7P · pith_short_16: N4UIF5DMKP7PUEME · pith_short_8: N4UIF5DM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N4UIF5DMKP7PUEMEDWKK4LOP5Y \
  | 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: 6f2882f46c53fefa11841d94ae2dcfee1238bdfcfc0d5fdcc771d54ebed38583
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "22fa16a81b16b1c47f2eb3df6e198728a8c7f855a023317059cce739083ad36a",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-17T01:05:13Z",
    "title_canon_sha256": "aba3aeb5039839fcc06f97899f4ea5c22c3f90c12a40f65e264b2b83164033c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3859",
    "kind": "arxiv",
    "version": 1
  }
}