Pith Number

pith:OJW6P2NF

pith:2014:OJW6P2NFTEANW4DIUD7JN7RJT6

not attested not anchored not stored refs pending

The Theory of Witt Vectors

Joseph Rabinoff

arxiv:1409.7445 v1 · 2014-09-26 · math.NT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJW6P2NFTEANW4DIUD7JN7RJT6}

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	2026-05-18T02:41:52.659972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

726de7e9a59900db7068a0fe96fe299fbc349ee9f41f00554a1bc878d8d48495

Aliases

arxiv: 1409.7445 · arxiv_version: 1409.7445v1 · doi: 10.48550/arxiv.1409.7445 · pith_short_12: OJW6P2NFTEAN · pith_short_16: OJW6P2NFTEANW4DI · pith_short_8: OJW6P2NF

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/OJW6P2NFTEANW4DIUD7JN7RJT6 \
  | 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: 726de7e9a59900db7068a0fe96fe299fbc349ee9f41f00554a1bc878d8d48495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f9849efcd85f05782b576022268768f5d9355ebd9c56c7fbdb7d0f6bec8d349",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-26T00:21:33Z",
    "title_canon_sha256": "b9617ab41d68338bae1d22008821a8f6b516e9001eacd6d5b13b7bff7b342c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7445",
    "kind": "arxiv",
    "version": 1
  }
}