Pith Number

pith:7RHDSTF6

pith:2019:7RHDSTF6CLIH3526QO6X2EZXPS

not attested not anchored not stored refs pending

On Macroscopic dimension of non-spin 4-manifolds

Alexander Dranishnikov, Michelle Daher

arxiv:1904.00846 v1 · 2019-04-01 · 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{7RHDSTF6CLIH3526QO6X2EZXPS}

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	2026-05-17T23:49:45.333451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc4e394cbe12d07df75e83bd7d13377c9d626e400fb80e7938f06dd5f0f55bef

Aliases

arxiv: 1904.00846 · arxiv_version: 1904.00846v1 · doi: 10.48550/arxiv.1904.00846 · pith_short_12: 7RHDSTF6CLIH · pith_short_16: 7RHDSTF6CLIH3526 · pith_short_8: 7RHDSTF6

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/7RHDSTF6CLIH3526QO6X2EZXPS \
  | 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: fc4e394cbe12d07df75e83bd7d13377c9d626e400fb80e7938f06dd5f0f55bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6bf3b90570a7fbaa733d623eebe37fa39994802d99ec0c61cb0a107b5088a9e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-01T13:38:09Z",
    "title_canon_sha256": "3b58cd0efda97a7207ab5f27a605629b4d0cdef870df38f506ffb4071a9b692c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00846",
    "kind": "arxiv",
    "version": 1
  }
}