Pith Number

pith:3XK37Z6Y

pith:2015:3XK37Z6YCOTYW57IP6OE7XK63T

not attested not anchored not stored refs pending

New constructions of symplectically fat fiber bundles

Aleksy Tralle, Anna Szczepkowska, Artur Woike, Maciej Bochenski

arxiv:1503.02511 v1 · 2015-03-09 · 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{3XK37Z6YCOTYW57IP6OE7XK63T}

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	2026-05-18T01:33:16.012287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd5bfe7d813a78b77e87f9c4fdd5edce767018479e041acb3f707d5ebce7e1d

Aliases

arxiv: 1503.02511 · arxiv_version: 1503.02511v1 · doi: 10.48550/arxiv.1503.02511 · pith_short_12: 3XK37Z6YCOTY · pith_short_16: 3XK37Z6YCOTYW57I · pith_short_8: 3XK37Z6Y

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/3XK37Z6YCOTYW57IP6OE7XK63T \
  | 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: ddd5bfe7d813a78b77e87f9c4fdd5edce767018479e041acb3f707d5ebce7e1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b0353529f5a6c678562054007f5b647c139b208b6d932367aa703863c66115",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-09T15:13:53Z",
    "title_canon_sha256": "a7743636261e35c88194851b33bd3918df559a656460a78de35a24e0c18a78ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02511",
    "kind": "arxiv",
    "version": 1
  }
}