Pith Number

pith:ML3UDDY6

pith:2017:ML3UDDY6V4ECOCFGH6UY7BCDEL

not attested not anchored not stored refs pending

Quantum phase space with a basis of Wannier functions

Biao Wu, Fan Wu, Yuan Fang

arxiv:1708.06507 v2 · 2017-08-22 · 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{ML3UDDY6V4ECOCFGH6UY7BCDEL}

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	2026-05-18T00:22:16.019061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f7418f1eaf082708a63fa98f844322ca5f53f5b8afecc0d20a480a924c6797

Aliases

arxiv: 1708.06507 · arxiv_version: 1708.06507v2 · doi: 10.48550/arxiv.1708.06507 · pith_short_12: ML3UDDY6V4EC · pith_short_16: ML3UDDY6V4ECOCFG · pith_short_8: ML3UDDY6

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/ML3UDDY6V4ECOCFGH6UY7BCDEL \
  | 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: 62f7418f1eaf082708a63fa98f844322ca5f53f5b8afecc0d20a480a924c6797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91fc5d885bb6f39b690c2143b1f928f251b34dd1ea97b7a0836f4a8fb2cab916",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-08-22T06:24:44Z",
    "title_canon_sha256": "921381eaa24ba77559bd3996c415dbb7e4caf2914ac7e437aa40b3fb357e12de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06507",
    "kind": "arxiv",
    "version": 2
  }
}