Pith Number

pith:KSYUBE6J

pith:2011:KSYUBE6JD44A54CERIBNMRDZWV

not attested not anchored not stored refs pending

Invariant higher-order variational problems II

Darryl D. Holm, David M. Meier, Fran\c{c}ois Gay-Balmaz, Fran\c{c}ois-Xavier Vialard, Tudor S. Ratiu

arxiv:1112.6380 v1 · 2011-12-29 · math.OC · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSYUBE6JD44A54CERIBNMRDZWV}

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	2026-05-18T01:58:59.721328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b14093c91f380ef0448a02d64479b56c05a0c56d9910019e8ea63b635f8ba5

Aliases

arxiv: 1112.6380 · arxiv_version: 1112.6380v1 · doi: 10.48550/arxiv.1112.6380 · pith_short_12: KSYUBE6JD44A · pith_short_16: KSYUBE6JD44A54CE · pith_short_8: KSYUBE6J

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/KSYUBE6JD44A54CERIBNMRDZWV \
  | 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: 54b14093c91f380ef0448a02d64479b56c05a0c56d9910019e8ea63b635f8ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30c35e845ba2c6d471de340f0142c49b283880f1fda6659157ac489ee947496",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-29T19:04:35Z",
    "title_canon_sha256": "dc3a8a9fc9843c73bf2afd382f8ea17da80e7b9b6679a544a2660fd95ad16aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6380",
    "kind": "arxiv",
    "version": 1
  }
}