Pith Number

pith:FUWFADRH

pith:2015:FUWFADRHMEFQOU23CBPPDHPDOS

not attested not anchored not stored refs pending

Automorphisms of Harbater-Katz-Gabber curves

Bjorn Poonen, Frauke M. Bleher, Peter Symonds, Ted Chinburg

arxiv:1509.02139 v2 · 2015-09-07 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUWFADRHMEFQOU23CBPPDHPDOS}

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	2026-05-18T00:38:23.635672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d2c500e27610b07535b105ef19de374bac553a05b88c46c36ca2ae44e16b1d6

Aliases

arxiv: 1509.02139 · arxiv_version: 1509.02139v2 · doi: 10.48550/arxiv.1509.02139 · pith_short_12: FUWFADRHMEFQ · pith_short_16: FUWFADRHMEFQOU23 · pith_short_8: FUWFADRH

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/FUWFADRHMEFQOU23CBPPDHPDOS \
  | 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: 2d2c500e27610b07535b105ef19de374bac553a05b88c46c36ca2ae44e16b1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dabd129cb04b85d9b700286492f63c3efaa7c471be27fadcea21315fdd8dbe0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-07T18:37:01Z",
    "title_canon_sha256": "c2b00f9b1f78c5f4e0b30ba12a07cacc34f3567fae5e0e20ca059e6bc80916c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02139",
    "kind": "arxiv",
    "version": 2
  }
}