Pith Number

pith:5SRHUGRC

pith:2017:5SRHUGRC3YWXPAKWF2QOJ52U3B

not attested not anchored not stored refs pending

Witt vectors, commutative and non-commutative

D. Kaledin

arxiv:1708.05660 v1 · 2017-08-16 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SRHUGRC3YWXPAKWF2QOJ52U3B}

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	2026-05-18T00:13:32.208262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca27a1a22de2d7781562ea0e4f754d8544c44d194dc09f62e330c813c1f2afa

Aliases

arxiv: 1708.05660 · arxiv_version: 1708.05660v1 · doi: 10.48550/arxiv.1708.05660 · pith_short_12: 5SRHUGRC3YWX · pith_short_16: 5SRHUGRC3YWXPAKW · pith_short_8: 5SRHUGRC

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/5SRHUGRC3YWXPAKWF2QOJ52U3B \
  | 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: eca27a1a22de2d7781562ea0e4f754d8544c44d194dc09f62e330c813c1f2afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69cf0ada7498d43e9adef41be32c0f47f91112b5e7198b54816a33739b00e8d4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-16T19:35:43Z",
    "title_canon_sha256": "afeedec76e889f57d69598d1227653d46d4c3e12f4b614b62507b4eaa65fbbf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05660",
    "kind": "arxiv",
    "version": 1
  }
}