Pith Number

pith:IN5ZSRPY

pith:2016:IN5ZSRPYXU3RVVAKUKSVPAUART

not attested not anchored not stored refs pending

On the rank of a product of manifolds

Arthur G. Wasserman, Francisco-Javier Turiel

arxiv:1604.08150 v2 · 2016-04-27 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IN5ZSRPYXU3RVVAKUKSVPAUART}

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	2026-05-18T01:09:06.466409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

437b9945f8bd371ad40aa2a55782808cffc9df06b496e39e9dac6fe1f7a77aff

Aliases

arxiv: 1604.08150 · arxiv_version: 1604.08150v2 · doi: 10.48550/arxiv.1604.08150 · pith_short_12: IN5ZSRPYXU3R · pith_short_16: IN5ZSRPYXU3RVVAK · pith_short_8: IN5ZSRPY

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/IN5ZSRPYXU3RVVAKUKSVPAUART \
  | 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: 437b9945f8bd371ad40aa2a55782808cffc9df06b496e39e9dac6fe1f7a77aff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aec05dedbe5b3dbbc9fbb09c8807601e612a6708abe0c046fe9523a49aab8fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-27T17:42:05Z",
    "title_canon_sha256": "f4fc838159b7a0ea718286bc82075cba4e0fe65ad3672cad203b7bf39323ac29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08150",
    "kind": "arxiv",
    "version": 2
  }
}