Pith Number

pith:ODTIGJPN

pith:2019:ODTIGJPN5TUIN4N75MY7XPOEXH

not attested not anchored not stored refs pending

Modules over algebraic cobordism

Adeel A. Khan, Elden Elmanto, Marc Hoyois, Maria Yakerson, Vladimir Sosnilo

arxiv:1908.02162 v2 · 2019-08-06 · 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{ODTIGJPN5TUIN4N75MY7XPOEXH}

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.

Cited by

1 paper in Pith

Virtual fundamental classes of derived stacks I

Receipt and verification

First computed	2026-07-05T02:01:09.575568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e68325edece886f1bfeb31fbbdc4b9e8982f5a6e792293de1c8ab8f9ac4b07

Aliases

arxiv: 1908.02162 · arxiv_version: 1908.02162v2 · doi: 10.48550/arxiv.1908.02162 · pith_short_12: ODTIGJPN5TUI · pith_short_16: ODTIGJPN5TUIN4N7 · pith_short_8: ODTIGJPN

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/ODTIGJPN5TUIN4N75MY7XPOEXH \
  | 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: 70e68325edece886f1bfeb31fbbdc4b9e8982f5a6e792293de1c8ab8f9ac4b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7181d596082ba5fcc6a05e391bd35d0983afed50087a61c27ffe00887e18cb",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-06T13:46:46Z",
    "title_canon_sha256": "fc9aeca2843edebad5c46124adb570aca5dc8e6d49dab335646119659f328ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02162",
    "kind": "arxiv",
    "version": 2
  }
}