Pith Number

pith:GUNXGUE2

pith:2015:GUNXGUE24FDZGMNFLQPHSMISVB

not attested not anchored not stored refs pending

On Warped Product Super Generalized Recurrent Manifolds

Absos Ali Shaikh, Haradhan Kundu, Md. Showkat Ali

arxiv:1504.03271 v1 · 2015-04-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUNXGUE24FDZGMNFLQPHSMISVB}

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	2026-05-18T02:18:58.739135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351b73509ae1479331a55c1e793112a864fbae33e5c6916cd9e504d45b0ce378

Aliases

arxiv: 1504.03271 · arxiv_version: 1504.03271v1 · doi: 10.48550/arxiv.1504.03271 · pith_short_12: GUNXGUE24FDZ · pith_short_16: GUNXGUE24FDZGMNF · pith_short_8: GUNXGUE2

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/GUNXGUE24FDZGMNFLQPHSMISVB \
  | 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: 351b73509ae1479331a55c1e793112a864fbae33e5c6916cd9e504d45b0ce378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ebd31d1a382f998a94a2e4714d6eed63046ad6af24ee4db8253ad57a1c3077",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-13T17:41:45Z",
    "title_canon_sha256": "d94ea7997c7909d18a0360ed82e9f26db38bb161d04c8e5ce9ae3080b8781c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03271",
    "kind": "arxiv",
    "version": 1
  }
}