Pith Number

pith:HB7ZGUGN

pith:2016:HB7ZGUGNP22YMPOOVIFGTEX5V2

not attested not anchored not stored refs pending

Refinements of the holonomic approximation lemma

Daniel Alvarez-Gavela

arxiv:1605.07258 v2 · 2016-05-24 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HB7ZGUGNP22YMPOOVIFGTEX5V2}

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	2026-05-18T00:17:09.631054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

387f9350cd7eb5863dceaa0a6992fdae93596d2779430a0735e9e02d2360815a

Aliases

arxiv: 1605.07258 · arxiv_version: 1605.07258v2 · doi: 10.48550/arxiv.1605.07258 · pith_short_12: HB7ZGUGNP22Y · pith_short_16: HB7ZGUGNP22YMPOO · pith_short_8: HB7ZGUGN

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/HB7ZGUGNP22YMPOOVIFGTEX5V2 \
  | 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: 387f9350cd7eb5863dceaa0a6992fdae93596d2779430a0735e9e02d2360815a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917e0abac0ee6c1ea180e37c82670a09401374817dc00a1dfd0db970e0c6d827",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-24T01:59:22Z",
    "title_canon_sha256": "a0826e4668918eab930156f404ef7e5bdeeff01e5f8c1e9f62d34085501e5b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07258",
    "kind": "arxiv",
    "version": 2
  }
}