pith. sign in
Pith Number

pith:VFEI3BSL

pith:2017:VFEI3BSLHDXSVTLRVMVYMDDNLW
not attested not anchored not stored refs pending

Generalized Projections in Zn

Anil Khairnar, B. N. Waphare

arxiv:1704.05006 v1 · 2017-04-17 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VFEI3BSLHDXSVTLRVMVYMDDNLW}

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 2026-05-18T00:46:17.262147Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9488d864b38ef2acd71ab2b860c6d5dbca21bb512fb8d42ed088b5bf89ce448

Aliases

arxiv: 1704.05006 · arxiv_version: 1704.05006v1 · doi: 10.48550/arxiv.1704.05006 · pith_short_12: VFEI3BSLHDXS · pith_short_16: VFEI3BSLHDXSVTLR · pith_short_8: VFEI3BSL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VFEI3BSLHDXSVTLRVMVYMDDNLW \
  | 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: a9488d864b38ef2acd71ab2b860c6d5dbca21bb512fb8d42ed088b5bf89ce448
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d46917c6e37ee9849f47ec7ac07bf8fb4666a693724d5b3773124c1077c282e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-17T15:45:06Z",
    "title_canon_sha256": "abac773ab07875e515d503660fa361633502b71f2625f74bd39276774f77bd10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05006",
    "kind": "arxiv",
    "version": 1
  }
}