Pith Number

pith:UXDFSZW2

pith:2015:UXDFSZW2EELXXETHMCDOEFTPCL

not attested not anchored not stored refs pending

Affine combinations in affine schemes

Anders Kock

arxiv:1508.04322 v1 · 2015-08-18 · 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{UXDFSZW2EELXXETHMCDOEFTPCL}

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	2026-05-18T01:35:05.639981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5c65966da21177b92676086e2166f12c045e58f331d5ac69ba2ad4e15b9b96b

Aliases

arxiv: 1508.04322 · arxiv_version: 1508.04322v1 · doi: 10.48550/arxiv.1508.04322 · pith_short_12: UXDFSZW2EELX · pith_short_16: UXDFSZW2EELXXETH · pith_short_8: UXDFSZW2

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/UXDFSZW2EELXXETHMCDOEFTPCL \
  | 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: a5c65966da21177b92676086e2166f12c045e58f331d5ac69ba2ad4e15b9b96b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c22c425d90377bd5837df8ff0670cdfb8fcfd723c419407ffb52f4995f62ec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-18T13:58:18Z",
    "title_canon_sha256": "9b2d238c0ecb0865f3854ed49a6eb3d3c664497bdb97e88724eeec0dca7e7abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04322",
    "kind": "arxiv",
    "version": 1
  }
}