pith. sign in
Pith Number

pith:IZMZXR5P

pith:2013:IZMZXR5P46I56XFPYSPZFJ4SXL
not attested not anchored not stored refs pending

Lifting geometric objects to the dual of the first jet bundle of a bundle fibred over R

Goedele Waeyaert, Willy Sarlet

arxiv:1308.3086 v1 · 2013-08-14 · math.DG · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IZMZXR5P46I56XFPYSPZFJ4SXL}

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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 2026-05-18T03:14:38.786632Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

46599bc7afe791df5cafc49f92a792baf6947004fb1148536bb7b58906f89178

Aliases

arxiv: 1308.3086 · arxiv_version: 1308.3086v1 · doi: 10.48550/arxiv.1308.3086 · pith_short_12: IZMZXR5P46I5 · pith_short_16: IZMZXR5P46I56XFP · pith_short_8: IZMZXR5P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IZMZXR5P46I56XFPYSPZFJ4SXL \
  | 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: 46599bc7afe791df5cafc49f92a792baf6947004fb1148536bb7b58906f89178
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d5bfd3d7345f5f72e438ef7c0cb4eefc53b759a06b4effbe91fc21ad50c87129",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-14T11:06:00Z",
    "title_canon_sha256": "e2874c9bc25d5dd71df1222a2b5eaf86ff3abc7c7f730ae1e0955c6fe6bbd58c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3086",
    "kind": "arxiv",
    "version": 1
  }
}