Pith Number

pith:TJQRVBTC

pith:2015:TJQRVBTCUELCMECUYJQEWHHGCF

not attested not anchored not stored refs pending

The Real Johnson-Wilson Cohomology of $\mathbb{C}P^\infty$

Vitaly Lorman

arxiv:1509.02101 v3 · 2015-09-07 · 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{TJQRVBTCUELCMECUYJQEWHHGCF}

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	2026-05-18T01:11:55.061198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a611a8662a116261054c2604b1ce61156940504a5c62fdbec6d130d333da77c

Aliases

arxiv: 1509.02101 · arxiv_version: 1509.02101v3 · doi: 10.48550/arxiv.1509.02101 · pith_short_12: TJQRVBTCUELC · pith_short_16: TJQRVBTCUELCMECU · pith_short_8: TJQRVBTC

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/TJQRVBTCUELCMECUYJQEWHHGCF \
  | 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: 9a611a8662a116261054c2604b1ce61156940504a5c62fdbec6d130d333da77c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f32b270bc4e88399132c2740e50b27b10eb66e135a2e67bc98195eb42c25de8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-09-07T16:02:16Z",
    "title_canon_sha256": "b7a09a960b0a985abc64152ef74e42a446272d8257ee52d3b23c05ea85beadba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02101",
    "kind": "arxiv",
    "version": 3
  }
}