Pith Number

pith:ZEINQQN4

pith:2011:ZEINQQN4FZU6K53CB33BOYO47F

not attested not anchored not stored refs pending

Multiplier Spectra and the Moduli Space of Degree 3 Morphisms on P1

Benjamin Hutz, Michael Tepper

arxiv:1110.5082 v2 · 2011-10-23 · 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{ZEINQQN4FZU6K53CB33BOYO47F}

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	2026-05-18T03:28:19.793348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c910d841bc2e69e577620ef61761dcf978fa8563739d285d2f04942d90b4c437

Aliases

arxiv: 1110.5082 · arxiv_version: 1110.5082v2 · doi: 10.48550/arxiv.1110.5082 · pith_short_12: ZEINQQN4FZU6 · pith_short_16: ZEINQQN4FZU6K53C · pith_short_8: ZEINQQN4

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/ZEINQQN4FZU6K53CB33BOYO47F \
  | 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: c910d841bc2e69e577620ef61761dcf978fa8563739d285d2f04942d90b4c437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1197c7daa4ffeedcc155776508cb945a0ce501cacb5af6e2f429769badfe8a28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-23T20:19:53Z",
    "title_canon_sha256": "d18f710cd7aa67d2e90eb40a10b28ea69acdaf2019e05320902352e75a38b162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5082",
    "kind": "arxiv",
    "version": 2
  }
}