Pith Number

pith:BMZGK3KS

pith:2011:BMZGK3KSE5DTDBOI5OACPL3MSH

not attested not anchored not stored refs pending

Birational Motivic Homotopy Theories and the Slice Filtration

Pablo Pelaez

arxiv:1112.2358 v2 · 2011-12-11 · math.KT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMZGK3KSE5DTDBOI5OACPL3MSH}

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	2026-05-18T03:40:49.544087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b32656d5227473185c8eb8027af6c91d846aa0faf4fab415c162ccbceca8a2b

Aliases

arxiv: 1112.2358 · arxiv_version: 1112.2358v2 · doi: 10.48550/arxiv.1112.2358 · pith_short_12: BMZGK3KSE5DT · pith_short_16: BMZGK3KSE5DTDBOI · pith_short_8: BMZGK3KS

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/BMZGK3KSE5DTDBOI5OACPL3MSH \
  | 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: 0b32656d5227473185c8eb8027af6c91d846aa0faf4fab415c162ccbceca8a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03e4c788947a71814ace4a74e4f2cdb30429d37608105dcd6020ee315ba22ac",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-12-11T14:15:46Z",
    "title_canon_sha256": "c27a190ff59b3639048f544366238bdb6db6cd64ba845600173ec5f2b888822c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2358",
    "kind": "arxiv",
    "version": 2
  }
}