Pith Number

pith:HX64OAG4

pith:2021:HX64OAG4UVEVEE6DRXOI24RJTL

not attested not anchored not stored refs pending

Generalized cohomology theories for algebraic stacks

Adeel A. Khan, Charanya Ravi

arxiv:2106.15001 v5 · 2021-06-28 · 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{HX64OAG4UVEVEE6DRXOI24RJTL}

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	2026-06-19T16:12:43.495404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dfdc700dca5495213c38ddc8d72299ada20636e987ead5cd617ad81e325b079

Aliases

arxiv: 2106.15001 · arxiv_version: 2106.15001v5 · doi: 10.48550/arxiv.2106.15001 · pith_short_12: HX64OAG4UVEV · pith_short_16: HX64OAG4UVEVEE6D · pith_short_8: HX64OAG4

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/HX64OAG4UVEVEE6DRXOI24RJTL \
  | 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: 3dfdc700dca5495213c38ddc8d72299ada20636e987ead5cd617ad81e325b079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542fe16da83aaaae890d2389221d268d3b20106328d5cb9e9655e0eb520170d9",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-06-28T22:08:26Z",
    "title_canon_sha256": "a1467f630e1235a35dc013a3814fde5eccf05bd152b0073ea917e71156ed44eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15001",
    "kind": "arxiv",
    "version": 5
  }
}