Pith Number

pith:AV6IGMTF

pith:2016:AV6IGMTFNUHY5PFZY3JSYPEYJA

not attested not anchored not stored refs pending

Average Zsigmondy sets, dynamical Galois groups, and the Kodaira-Spencer map

Wade Hindes

arxiv:1603.04459 v1 · 2016-03-14 · 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{AV6IGMTFNUHY5PFZY3JSYPEYJA}

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	2026-05-18T01:19:04.891599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

057c8332656d0f8ebcb9c6d32c3c984809629cbee0ff55abc6f47c433cf0d0dc

Aliases

arxiv: 1603.04459 · arxiv_version: 1603.04459v1 · doi: 10.48550/arxiv.1603.04459 · pith_short_12: AV6IGMTFNUHY · pith_short_16: AV6IGMTFNUHY5PFZ · pith_short_8: AV6IGMTF

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/AV6IGMTFNUHY5PFZY3JSYPEYJA \
  | 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: 057c8332656d0f8ebcb9c6d32c3c984809629cbee0ff55abc6f47c433cf0d0dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99760fdce70684d2fcb9dedfbb9be97f4dd8c7e527c93fb1f6bfc24d9867c550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-14T20:28:19Z",
    "title_canon_sha256": "31c522de2c9dbf28c965b13e82685453a72194836d8259f27d732fbb9581326f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04459",
    "kind": "arxiv",
    "version": 1
  }
}