Pith Number

pith:ETYTG27T

pith:2010:ETYTG27TCZSGTRCXERNZR3EMY2

not attested not anchored not stored refs pending

Resultant and conductor of geometrically semi-stable self maps of the projective line over a number field or function field

Lucien Szpiro, Michael Tepper, Phillip Williams

arxiv:1010.5030 v5 · 2010-10-25 · math.DS · math.AG · 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{ETYTG27TCZSGTRCXERNZR3EMY2}

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	2026-05-18T03:57:26.991456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24f1336bf3166469c457245b98ec8cc698db723a0c94e79795d34db0a74b14f3

Aliases

arxiv: 1010.5030 · arxiv_version: 1010.5030v5 · doi: 10.48550/arxiv.1010.5030 · pith_short_12: ETYTG27TCZSG · pith_short_16: ETYTG27TCZSGTRCX · pith_short_8: ETYTG27T

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/ETYTG27TCZSGTRCXERNZR3EMY2 \
  | 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: 24f1336bf3166469c457245b98ec8cc698db723a0c94e79795d34db0a74b14f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9954cf666e9c5f3e3f8e2e68c49b16187761206f2ce58a7e997cb9bcfd55a6f5",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-25T01:55:40Z",
    "title_canon_sha256": "ef20d4d7c4fde8a66d00c063241f4d2612729b03da800efb1955b48280804d70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5030",
    "kind": "arxiv",
    "version": 5
  }
}