Pith Number

pith:Z3FZBRRF

pith:2010:Z3FZBRRFNK3EKMUNRA57XTNXEP

not attested not anchored not stored refs pending

Gateaux and Frechet Derivative in Intuitionistic Fuzzy Normed Linear spaces

B. Dinda, T.K. Samanta, U.K. Bera

arxiv:1009.2174 v1 · 2010-09-11 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3FZBRRFNK3EKMUNRA57XTNXEP}

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	2026-05-18T03:00:50.097447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cecb90c6256ab645328d883bfbcdb723ecbc60b67429a4cbad4355cd39bcce1c

Aliases

arxiv: 1009.2174 · arxiv_version: 1009.2174v1 · doi: 10.48550/arxiv.1009.2174 · pith_short_12: Z3FZBRRFNK3E · pith_short_16: Z3FZBRRFNK3EKMUN · pith_short_8: Z3FZBRRF

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/Z3FZBRRFNK3EKMUNRA57XTNXEP \
  | 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: cecb90c6256ab645328d883bfbcdb723ecbc60b67429a4cbad4355cd39bcce1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4377a0fef2a2e3f1ced5e7d9011f282078e3d32436526d60b51e23689ac5db1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2010-09-11T14:34:34Z",
    "title_canon_sha256": "4e10c13c535e7f25b5af8eea87cf7592427504cc21d94ab6b04b04086b175632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2174",
    "kind": "arxiv",
    "version": 1
  }
}