Pith Number

pith:PY2ABEFI

pith:2012:PY2ABEFIACZ7SATKVAUCMIL2F5

not attested not anchored not stored refs pending

Rationality problems and conjectures of Milnor and Bloch-Kato

Aravind Asok

arxiv:1203.4022 v1 · 2012-03-19 · 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{PY2ABEFIACZ7SATKVAUCMIL2F5}

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	2026-05-17T23:53:36.266512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e340090a800b3f9026aa82826217a2f58769a1131794427b81e7c1892641eed

Aliases

arxiv: 1203.4022 · arxiv_version: 1203.4022v1 · doi: 10.48550/arxiv.1203.4022 · pith_short_12: PY2ABEFIACZ7 · pith_short_16: PY2ABEFIACZ7SATK · pith_short_8: PY2ABEFI

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/PY2ABEFIACZ7SATKVAUCMIL2F5 \
  | 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: 7e340090a800b3f9026aa82826217a2f58769a1131794427b81e7c1892641eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4349d74594b20c4b7aa10f85adb4f9c6512363bdfb5a7a20cd51f9c2102dfcfc",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-19T02:47:15Z",
    "title_canon_sha256": "a3723538d588c4776775e1ba015fb0e5aeafcec70c001ba47ef0d1821e6b8d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4022",
    "kind": "arxiv",
    "version": 1
  }
}