pith. sign in
Pith Number

pith:PMDVCMPV

pith:2012:PMDVCMPVJRS2WKGDQVKNVZEQVW
not attested not anchored not stored refs pending

Bursting: when a cusp and a pitchfork interact

Andreas Amann, Nicholas Blackbeard, Simon Osborne, Stephen O'Brien

arxiv:1210.4484 v1 · 2012-10-16 · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PMDVCMPVJRS2WKGDQVKNVZEQVW}

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 2026-05-18T03:43:05.815981Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7b075131f54c65ab28c38554dae490ad82b2f2a682d7a9a69962af6a052e8ba5

Aliases

arxiv: 1210.4484 · arxiv_version: 1210.4484v1 · doi: 10.48550/arxiv.1210.4484 · pith_short_12: PMDVCMPVJRS2 · pith_short_16: PMDVCMPVJRS2WKGD · pith_short_8: PMDVCMPV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PMDVCMPVJRS2WKGDQVKNVZEQVW \
  | 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: 7b075131f54c65ab28c38554dae490ad82b2f2a682d7a9a69962af6a052e8ba5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "434ccfa61cc4dccf80402a74262a573c3d9f3e484ca33a427c4d0272df03da9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-10-16T16:39:32Z",
    "title_canon_sha256": "8b3049a36aa13b72513fe9d3105ba0a88e380b66166c4ea8b51ba592c7bee5be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4484",
    "kind": "arxiv",
    "version": 1
  }
}