Pith Number

pith:XADO7DVS

pith:2015:XADO7DVS24UYCOSBQMK2M4A3O3

not attested not anchored not stored refs pending

Quartic double solids with icosahedral symmetry

Constantin Shramov, Ivan Cheltsov, Victor Przyjalkowski

arxiv:1508.07282 v3 · 2015-08-28 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XADO7DVS24UYCOSBQMK2M4A3O3}

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	2026-05-18T00:08:58.146077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b806ef8eb2d729813a418315a6701b76cb6d0e7d19f9ba7d16ba5eabb2e8f664

Aliases

arxiv: 1508.07282 · arxiv_version: 1508.07282v3 · doi: 10.48550/arxiv.1508.07282 · pith_short_12: XADO7DVS24UY · pith_short_16: XADO7DVS24UYCOSB · pith_short_8: XADO7DVS

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/XADO7DVS24UYCOSBQMK2M4A3O3 \
  | 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: b806ef8eb2d729813a418315a6701b76cb6d0e7d19f9ba7d16ba5eabb2e8f664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617aa68d9cdea85f66b1aa6f9842ac18a0d5ebe6b1bf5506f7e24fe31f08fa8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-28T17:09:59Z",
    "title_canon_sha256": "6db0699c7dd93ad5fa30cd53569d126ff5c1070f92cf31b8e95632e2ba2f6c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07282",
    "kind": "arxiv",
    "version": 3
  }
}