Pith Number

pith:ZG3QFYWL

pith:2011:ZG3QFYWLBQU6J5V7DZFGCQ6ABV

not attested not anchored not stored refs pending

A note on multi-dimensional Camassa-Holm type systems on the torus

Martin Kohlmann

arxiv:1108.1553 v2 · 2011-08-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZG3QFYWLBQU6J5V7DZFGCQ6ABV}

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	2026-05-18T03:58:05.112259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b702e2cb0c29e4f6bf1e4a6143c00d750e1b77746123bfb3f4369a19c640c5

Aliases

arxiv: 1108.1553 · arxiv_version: 1108.1553v2 · doi: 10.48550/arxiv.1108.1553 · pith_short_12: ZG3QFYWLBQU6 · pith_short_16: ZG3QFYWLBQU6J5V7 · pith_short_8: ZG3QFYWL

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/ZG3QFYWLBQU6J5V7DZFGCQ6ABV \
  | 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: c9b702e2cb0c29e4f6bf1e4a6143c00d750e1b77746123bfb3f4369a19c640c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d8e6b307a1fe094b1ad09b969d937fc3224a05d213db64e7448051b1ee3c4d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-07T16:13:01Z",
    "title_canon_sha256": "c500e3c804ac386104fea75965d97c8c101a2bf7534e13e6cbd19c2edd0b1ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1553",
    "kind": "arxiv",
    "version": 2
  }
}