Pith Number

pith:HSDDHEJ2

pith:2010:HSDDHEJ2XKGF46NG7AL6Z6AIXK

not attested not anchored not stored refs pending

Non-linear Liouville and Shr\"odinger equations in phase space

A.E. Santana, F.C. Khanna, J.D.M. Vianna, M.C.B. Fernandes, M.G.R. Martins

arxiv:1006.3682 v1 · 2010-06-18 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSDDHEJ2XKGF46NG7AL6Z6AIXK}

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	2026-05-18T02:33:16.593943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8633913aba8c5e79a6f817ecf808ba8be417358e054720e456710d39db572a

Aliases

arxiv: 1006.3682 · arxiv_version: 1006.3682v1 · doi: 10.48550/arxiv.1006.3682 · pith_short_12: HSDDHEJ2XKGF · pith_short_16: HSDDHEJ2XKGF46NG · pith_short_8: HSDDHEJ2

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/HSDDHEJ2XKGF46NG7AL6Z6AIXK \
  | 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: 3c8633913aba8c5e79a6f817ecf808ba8be417358e054720e456710d39db572a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e2ac72099969be77c4b37ab3b8cce7cc3af3f333868369099efa1929a7968a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-06-18T12:44:01Z",
    "title_canon_sha256": "a0b9fa6f83e08badcdb45b6cfca182bf26ef9c3b4127bfa5d87cab3543c45a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3682",
    "kind": "arxiv",
    "version": 1
  }
}