Pith Number

pith:I2GHTWJ6

pith:2015:I2GHTWJ65OJBFXNT5MYL4Q7GZO

not attested not anchored not stored refs pending

Wild ramification in a family of low-degree extensions arising from iteration

Benjamin Breen, Michelle Yuen, Rafe Jones, Tommy Occhipinti

arxiv:1507.02269 v2 · 2015-07-08 · 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{I2GHTWJ65OJBFXNT5MYL4Q7GZO}

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	2026-05-18T01:35:15.738912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468c79d93eeb9212ddb3eb30be43e6cb895d51926ddb4a8df27c5c70fedd7488

Aliases

arxiv: 1507.02269 · arxiv_version: 1507.02269v2 · doi: 10.48550/arxiv.1507.02269 · pith_short_12: I2GHTWJ65OJB · pith_short_16: I2GHTWJ65OJBFXNT · pith_short_8: I2GHTWJ6

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/I2GHTWJ65OJBFXNT5MYL4Q7GZO \
  | 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: 468c79d93eeb9212ddb3eb30be43e6cb895d51926ddb4a8df27c5c70fedd7488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3591c5d4da72e99a39c1203b8bc37d34901808dc6aff63239133ad74994140f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-08T19:50:39Z",
    "title_canon_sha256": "d0e42f284a895385aaac3928724363bccfd7cf11c3501e8d704de8785f36c5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02269",
    "kind": "arxiv",
    "version": 2
  }
}