Pith Number

pith:BEIXL7TW

pith:2010:BEIXL7TWYIT24IMIHRLXB5QMUN

not attested not anchored not stored refs pending

Applying Hodge theory to detect Hamiltonian flows

Alvaro Pelayo, Tudor S. Ratiu

arxiv:1005.2163 v1 · 2010-05-12 · math.SG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEIXL7TWYIT24IMIHRLXB5QMUN}

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	2026-05-18T02:24:07.826161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091175fe76c227ae21883c5770f60ca37eef62ef4993d17db5758f64a51bf164

Aliases

arxiv: 1005.2163 · arxiv_version: 1005.2163v1 · doi: 10.48550/arxiv.1005.2163 · pith_short_12: BEIXL7TWYIT2 · pith_short_16: BEIXL7TWYIT24IMI · pith_short_8: BEIXL7TW

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/BEIXL7TWYIT24IMIHRLXB5QMUN \
  | 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: 091175fe76c227ae21883c5770f60ca37eef62ef4993d17db5758f64a51bf164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0180b9284fee32afbfd7201f2146f9d0aded0bd9369dd6dddca33faf55de46a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-05-12T18:02:41Z",
    "title_canon_sha256": "d9f399b997fd3b8ee08b3d3e12be22095220d603cc0ade6f144138f84355d963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2163",
    "kind": "arxiv",
    "version": 1
  }
}