Pith Number

pith:QHXPX4ZD

pith:2014:QHXPX4ZDFMILTOKTJW6ZMV446S

not attested not anchored not stored refs pending

Direct twisted Galois stratification

Ivan Toma\v{s}i\'c

arxiv:1412.8066 v2 · 2014-12-27 · math.LO · 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{QHXPX4ZDFMILTOKTJW6ZMV446S}

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	2026-05-18T00:39:58.682739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81eefbf3232b10b9b9534dbd96579cf4980fc044a58df3f91afa28b957b1776b

Aliases

arxiv: 1412.8066 · arxiv_version: 1412.8066v2 · doi: 10.48550/arxiv.1412.8066 · pith_short_12: QHXPX4ZDFMIL · pith_short_16: QHXPX4ZDFMILTOKT · pith_short_8: QHXPX4ZD

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/QHXPX4ZDFMILTOKTJW6ZMV446S \
  | 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: 81eefbf3232b10b9b9534dbd96579cf4980fc044a58df3f91afa28b957b1776b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "603a502229cbb1deb5a2c3377da3f8d75c931a5ec620ca058beed8cffeec1918",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-12-27T16:07:49Z",
    "title_canon_sha256": "a6aef6a18eb2d2e297ae2165f33f9bcb847bf73646094b602bcfc2d8761c10ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8066",
    "kind": "arxiv",
    "version": 2
  }
}