Pith Number

pith:XAUMZGQL

pith:2016:XAUMZGQLDXHE2JVWO7X7KKOAET

not attested not anchored not stored refs pending

Quartic surfaces with icosahedral symmetry

Igor Dolgachev

arxiv:1604.02567 v3 · 2016-04-09 · 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{XAUMZGQLDXHE2JVWO7X7KKOAET}

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	2026-05-18T00:27:22.322437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b828cc9a0b1dce4d26b677eff529c024d7f946b19ef2fce61e3f11f780fef8a9

Aliases

arxiv: 1604.02567 · arxiv_version: 1604.02567v3 · doi: 10.48550/arxiv.1604.02567 · pith_short_12: XAUMZGQLDXHE · pith_short_16: XAUMZGQLDXHE2JVW · pith_short_8: XAUMZGQL

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/XAUMZGQLDXHE2JVWO7X7KKOAET \
  | 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: b828cc9a0b1dce4d26b677eff529c024d7f946b19ef2fce61e3f11f780fef8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e16cb76a3c9484458b8a1b3e7958f99075545f3b9bd73ff2653e527f3d7ca5b3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-09T14:10:19Z",
    "title_canon_sha256": "ba5d0ad8cf377b187192b7abd244cd4f642fe2e3c18b5caff71c9586607f0b57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02567",
    "kind": "arxiv",
    "version": 3
  }
}