Pith Number

pith:6P4A5WAZ

pith:2012:6P4A5WAZX55MBQGEPWOZFYPSQM

not attested not anchored not stored refs pending

Hyperspherical theory of anisotropic exciton

A. E. Bulatov, A. L. Yablonskii, E. A. Muljarov, Joseph L. Birman, S. G. Tikhodeev

arxiv:1205.5482 v1 · 2012-05-24 · math-ph · cond-mat.other · math.MP · quant-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{6P4A5WAZX55MBQGEPWOZFYPSQM}

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	2026-05-18T03:55:00.964359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f80ed819bf7ac0c0c47d9d92e1f2831a77c14c5cb08935cdbb2c992acd7f5a

Aliases

arxiv: 1205.5482 · arxiv_version: 1205.5482v1 · doi: 10.48550/arxiv.1205.5482 · pith_short_12: 6P4A5WAZX55M · pith_short_16: 6P4A5WAZX55MBQGE · pith_short_8: 6P4A5WAZ

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/6P4A5WAZX55MBQGEPWOZFYPSQM \
  | 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: f3f80ed819bf7ac0c0c47d9d92e1f2831a77c14c5cb08935cdbb2c992acd7f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f74ef7c6dc2355d1122a012c785b37cba5d5f36db10d5ed47ded1522d427c9",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-24T15:25:27Z",
    "title_canon_sha256": "b6534f0562e80c649696c8f97dc4ef9604e7d1025c1fe1d89c5df009aa41e1a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5482",
    "kind": "arxiv",
    "version": 1
  }
}