Pith Number

pith:ZBRADM5E

pith:2009:ZBRADM5EYAVPYN6YVAME7H7FLC

not attested not anchored not stored refs pending

Conduction bands in classical periodic potentials

Carl M. Bender, Tanwa Arpornthip

arxiv:0905.4694 v1 · 2009-05-28 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBRADM5EYAVPYN6YVAME7H7FLC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:13:31.043357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86201b3a4c02afc37d8a8184f9fe5588dc98dcfbe56fac884738f936aaa63b4

Aliases

arxiv: 0905.4694 · arxiv_version: 0905.4694v1 · doi: 10.48550/arxiv.0905.4694 · pith_short_12: ZBRADM5EYAVP · pith_short_16: ZBRADM5EYAVPYN6Y · pith_short_8: ZBRADM5E

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/ZBRADM5EYAVPYN6YVAME7H7FLC \
  | 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: c86201b3a4c02afc37d8a8184f9fe5588dc98dcfbe56fac884738f936aaa63b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "683bc0f316fb4cb1020bf0bd757928b9a0b251e19081884d6363d6dd3c3d26bd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-05-28T16:12:19Z",
    "title_canon_sha256": "d73a320cf4b887d3b0c0a479da0a1abc97ca9a26d882ed0501785cdc8d72ed2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4694",
    "kind": "arxiv",
    "version": 1
  }
}