Pith Number

pith:BJQ3ESTW

pith:2010:BJQ3ESTW7SEFOC3IVDGGBIANH6

not attested not anchored not stored refs pending

Stable A^1-homotopy and R-equivalence

Aravind Asok, Christian Haesemeyer

arxiv:1011.3186 v3 · 2010-11-14 · math.AG · math.AT · 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{BJQ3ESTW7SEFOC3IVDGGBIANH6}

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	2026-05-18T04:32:01.480435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a61b24a76fc88570b68a8cc60a00d3f9d89ef61fe4050f3e971be4c77628755

Aliases

arxiv: 1011.3186 · arxiv_version: 1011.3186v3 · doi: 10.48550/arxiv.1011.3186 · pith_short_12: BJQ3ESTW7SEF · pith_short_16: BJQ3ESTW7SEFOC3I · pith_short_8: BJQ3ESTW

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/BJQ3ESTW7SEFOC3IVDGGBIANH6 \
  | 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: 0a61b24a76fc88570b68a8cc60a00d3f9d89ef61fe4050f3e971be4c77628755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de8bddb198d3f3189b2db136b6ab029c3f7cecbb2766397112388ede4ddb0448",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-14T06:36:55Z",
    "title_canon_sha256": "a315675526e5ae83e139f5690193766aa0059fb7bc6258c2fd641a335d78a6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3186",
    "kind": "arxiv",
    "version": 3
  }
}