Pith Number

pith:OU3B66DE

pith:2019:OU3B66DEKPZJK3NKIUHS5AEXHI

not attested not anchored not stored refs pending

Obstructions to representations up to homotopy and ideals

Madeleine Jotz Lean

arxiv:1905.10237 v2 · 2019-05-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OU3B66DEKPZJK3NKIUHS5AEXHI}

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	2026-05-17T23:39:30.122241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75361f786453f2956daa450f2e80973a0e74d5922a403983191c1fb51d4519d7

Aliases

arxiv: 1905.10237 · arxiv_version: 1905.10237v2 · doi: 10.48550/arxiv.1905.10237 · pith_short_12: OU3B66DEKPZJ · pith_short_16: OU3B66DEKPZJK3NK · pith_short_8: OU3B66DE

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/OU3B66DEKPZJK3NKIUHS5AEXHI \
  | 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: 75361f786453f2956daa450f2e80973a0e74d5922a403983191c1fb51d4519d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f087c622447707b4f59a7f9733b2ec728fe357805b488cb5316d5a9bf081f59e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-05-24T13:50:13Z",
    "title_canon_sha256": "e5aa445ac8a5f16b31c45fb2cc0bf858c181c6cb511c41bb9c6a5aff8028db39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10237",
    "kind": "arxiv",
    "version": 2
  }
}