pith. sign in
Pith Number

pith:3F2SLNGS

pith:2016:3F2SLNGSRC2NCPENOLN7PQTZS4
not attested not anchored not stored refs pending

Pre-Courant Algebroids

Andrew James Bruce, Janusz Grabowski

arxiv:1608.01585 v3 · 2016-08-04 · math-ph · math.DG · math.MP · math.QA · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3F2SLNGSRC2NCPENOLN7PQTZS4}

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 2026-05-17T23:46:55.866668Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d97525b4d288b4d13c8d72dbf7c27997025e75c8539bae2cd346a81275bbd37e

Aliases

arxiv: 1608.01585 · arxiv_version: 1608.01585v3 · doi: 10.48550/arxiv.1608.01585 · pith_short_12: 3F2SLNGSRC2N · pith_short_16: 3F2SLNGSRC2NCPEN · pith_short_8: 3F2SLNGS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3F2SLNGSRC2NCPENOLN7PQTZS4 \
  | 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: d97525b4d288b4d13c8d72dbf7c27997025e75c8539bae2cd346a81275bbd37e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9c85d83f0b46d2962915b003596741a45d649d10f8a90386aaefb09f4143a8eb",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.QA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-04T15:33:57Z",
    "title_canon_sha256": "a9781a68e121d6a9338b45fdfad443f0ffb6a7e30be56b147cff61447899f70c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01585",
    "kind": "arxiv",
    "version": 3
  }
}