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Pith Number

pith:O3I26X75

pith:2014:O3I26X75EXKC45ATRFGN6LPEQN
not attested not anchored not stored refs pending

Global existence and blow-up phenomena for two-component Degasperis-Procesi system and two-component b-family system

Jingjing Liu, Zhaoyang Yin

arxiv:1401.3330 v4 · 2014-01-14 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O3I26X75EXKC45ATRFGN6LPEQN}

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 2026-05-17T23:56:56.431094Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

76d1af5ffd25d42e7413894cdf2de4834d9a9cccb554143e84a3db72cb818d4d

Aliases

arxiv: 1401.3330 · arxiv_version: 1401.3330v4 · doi: 10.48550/arxiv.1401.3330 · pith_short_12: O3I26X75EXKC · pith_short_16: O3I26X75EXKC45AT · pith_short_8: O3I26X75
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O3I26X75EXKC45ATRFGN6LPEQN \
  | 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: 76d1af5ffd25d42e7413894cdf2de4834d9a9cccb554143e84a3db72cb818d4d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a3cb4fc23a039baa142344fde57ca99fe011a0edd266e02d20884bd0ad9191ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-14T06:48:55Z",
    "title_canon_sha256": "3c74627ad3b905229d5693bac23690d7763cd47b37c740d8c35110368b45c23a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3330",
    "kind": "arxiv",
    "version": 4
  }
}