Pith Number

pith:GM33CU7Y

pith:2012:GM33CU7YEV3DGFY5DCSLVXKT3I

not attested not anchored not stored refs pending

The convergence Newton polygon of a $p$-adic differential equation I : Affinoid domains of the Berkovich affine line

Andrea Pulita

arxiv:1208.5850 v4 · 2012-08-29 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GM33CU7YEV3DGFY5DCSLVXKT3I}

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	2026-05-18T02:50:52.075057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3337b153f8257633171d18a4badd53da3954daf867e748d6aaeaa6d709092a3e

Aliases

arxiv: 1208.5850 · arxiv_version: 1208.5850v4 · doi: 10.48550/arxiv.1208.5850 · pith_short_12: GM33CU7YEV3D · pith_short_16: GM33CU7YEV3DGFY5 · pith_short_8: GM33CU7Y

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/GM33CU7YEV3DGFY5DCSLVXKT3I \
  | 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: 3337b153f8257633171d18a4badd53da3954daf867e748d6aaeaa6d709092a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba2c257ebcf495581f6f38df8cb5ff57c8b1cfa76370e0bcd4b22554ee5ed343",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-29T07:00:20Z",
    "title_canon_sha256": "5baa23c95868fa8e08150c02a35025ec0ef1bf9c555ff48b53cb9665600c4065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5850",
    "kind": "arxiv",
    "version": 4
  }
}