Pith Number

pith:FEE52R7F

pith:2022:FEE52R7FAKRCKSC4ZB4ILL6P7X

not attested not anchored not stored refs pending

Almost Complex Structures on Homotopy Complex Projective Spaces

Keith Mills

arxiv:2201.07176 v3 · 2022-01-18 · math.GT · 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{FEE52R7FAKRCKSC4ZB4ILL6P7X}

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	2026-07-05T05:37:52.750529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2909dd47e502a225485cc87885afcffde61be443d929917499f5f43856d24007

Aliases

arxiv: 2201.07176 · arxiv_version: 2201.07176v3 · doi: 10.48550/arxiv.2201.07176 · pith_short_12: FEE52R7FAKRC · pith_short_16: FEE52R7FAKRCKSC4 · pith_short_8: FEE52R7F

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/FEE52R7FAKRCKSC4ZB4ILL6P7X \
  | 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: 2909dd47e502a225485cc87885afcffde61be443d929917499f5f43856d24007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "823c66311eca37083893049c87ef5b0a57ae944c3e6221032d8f6ec1255b812b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-01-18T18:22:15Z",
    "title_canon_sha256": "9f2f95f82394725a22d8ac91c159f472f57c1bf09a36c0b7c4e5a1a39918e688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.07176",
    "kind": "arxiv",
    "version": 3
  }
}