Pith Number

pith:QGGBQPYG

pith:2012:QGGBQPYG47MT6GIMOWVAF42XVY

not attested not anchored not stored refs pending

Almost exponential maps and integrability results for a class of horizontally regular vector fields

Annamaria Montanari, Daniele Morbidelli

arxiv:1201.5228 v1 · 2012-01-25 · 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{QGGBQPYG47MT6GIMOWVAF42XVY}

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	2026-05-18T03:34:25.604328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818c183f06e7d93f190c75aa02f357ae1e318000ddbfc92435d694a23de3b731

Aliases

arxiv: 1201.5228 · arxiv_version: 1201.5228v1 · doi: 10.48550/arxiv.1201.5228 · pith_short_12: QGGBQPYG47MT · pith_short_16: QGGBQPYG47MT6GIM · pith_short_8: QGGBQPYG

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/QGGBQPYG47MT6GIMOWVAF42XVY \
  | 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: 818c183f06e7d93f190c75aa02f357ae1e318000ddbfc92435d694a23de3b731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd949297728308cacbccee31ad5a94f2e8b3942d11d8ae10cecfb31c8aa350d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-25T10:19:36Z",
    "title_canon_sha256": "5c0f5d6d515a2a18cd2919f52b97ec5770b32a10d96a602ffcdfb2236fc28db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5228",
    "kind": "arxiv",
    "version": 1
  }
}