Pith Number

pith:YPXJJB25

pith:2016:YPXJJB25G3RSPJCWQMRQBN2ZXS

not attested not anchored not stored refs pending

The Universal Deformation of the Witt Ring Scheme

Christopher Deninger, Young-Tak Oh

arxiv:1604.03319 v1 · 2016-04-12 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPXJJB25G3RSPJCWQMRQBN2ZXS}

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	2026-05-18T00:35:35.821848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ee94875d36e327a456832300b759bc8136cde3e527347c90b5cffa322bcd9a

Aliases

arxiv: 1604.03319 · arxiv_version: 1604.03319v1 · doi: 10.48550/arxiv.1604.03319 · pith_short_12: YPXJJB25G3RS · pith_short_16: YPXJJB25G3RSPJCW · pith_short_8: YPXJJB25

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/YPXJJB25G3RSPJCWQMRQBN2ZXS \
  | 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: c3ee94875d36e327a456832300b759bc8136cde3e527347c90b5cffa322bcd9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e416ee2a3eb65ae40dce14a3ee5d94e8c04daf249cb708188e6e17a040248441",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-04-12T09:29:14Z",
    "title_canon_sha256": "f23571aa93cd1a36083dc4448f229272a4ecf7e99e57e2b96a4e3fc5bfec1dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03319",
    "kind": "arxiv",
    "version": 1
  }
}