Pith Number

pith:FIRX7ARI

pith:2008:FIRX7ARI7PJH2TLD5Y6BYY6SGT

not attested not anchored not stored refs pending

Multipulse phases in k-mixtures of Bose-Einstein condensates

Gianmaria Verzini, Susanna Terracini

arxiv:0807.1979 v1 · 2008-07-12 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIRX7ARI7PJH2TLD5Y6BYY6SGT}

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	2026-05-18T00:40:54.271225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a237f8228fbd27d4d63ee3c1c63d234c0d8c25d1e42c673ecaece3088629ad5

Aliases

arxiv: 0807.1979 · arxiv_version: 0807.1979v1 · doi: 10.48550/arxiv.0807.1979 · pith_short_12: FIRX7ARI7PJH · pith_short_16: FIRX7ARI7PJH2TLD · pith_short_8: FIRX7ARI

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/FIRX7ARI7PJH2TLD5Y6BYY6SGT \
  | 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: 2a237f8228fbd27d4d63ee3c1c63d234c0d8c25d1e42c673ecaece3088629ad5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75fa9c6fa9db2d2cd09f934c3cee7cd8500308644eb171a7d15f29c0609346cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-07-12T14:17:22Z",
    "title_canon_sha256": "2fb9dde6046fdde7fb2cc78e20fd5d21d8a031938a3161253534cf92754149a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1979",
    "kind": "arxiv",
    "version": 1
  }
}