Pith Number

pith:RFRP3I5E

pith:2017:RFRP3I5ENT7IL5FB4YYZU3OG3D

not attested not anchored not stored refs pending

Generalized Almost Product Structures and Generalized CRF-structures

Daniele Grandini, Marco Aldi

arxiv:1701.02622 v1 · 2017-01-10 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFRP3I5ENT7IL5FB4YYZU3OG3D}

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	2026-05-18T00:21:14.763929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8962fda3a46cfe85f4a1e6319a6dc6d8f712402f8e84d0bebccdcd6b681ff4e6

Aliases

arxiv: 1701.02622 · arxiv_version: 1701.02622v1 · doi: 10.48550/arxiv.1701.02622 · pith_short_12: RFRP3I5ENT7I · pith_short_16: RFRP3I5ENT7IL5FB · pith_short_8: RFRP3I5E

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/RFRP3I5ENT7IL5FB4YYZU3OG3D \
  | 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: 8962fda3a46cfe85f4a1e6319a6dc6d8f712402f8e84d0bebccdcd6b681ff4e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e457f9c54c22fa0d5854b9ee5cc5c4d644646c74134cc076ee8af2f7f36eefb4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-10T14:53:45Z",
    "title_canon_sha256": "90881f41ebd81afb4f230f3eb7f4880d126e4d7cca4352bbee61641d0453b63d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02622",
    "kind": "arxiv",
    "version": 1
  }
}