pith. sign in
Pith Number

pith:V6TSIFXL

pith:2016:V6TSIFXLLFSU4TBJA7YLXOS4TX
not attested not anchored not stored refs pending

Contraction Principles in $M_s$-metric Spaces

K. Abodayeh, N. Mlaiki, N. Souayah, T. Abdeljawad

arxiv:1610.02582 v1 · 2016-10-08 · math.GM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V6TSIFXLLFSU4TBJA7YLXOS4TX}

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 2026-05-18T01:02:51.192349Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

afa72416eb59654e4c2907f0bbba5c9dfac8fb789c438252bb57b20430954f7e

Aliases

arxiv: 1610.02582 · arxiv_version: 1610.02582v1 · doi: 10.48550/arxiv.1610.02582 · pith_short_12: V6TSIFXLLFSU · pith_short_16: V6TSIFXLLFSU4TBJ · pith_short_8: V6TSIFXL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V6TSIFXLLFSU4TBJA7YLXOS4TX \
  | 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: afa72416eb59654e4c2907f0bbba5c9dfac8fb789c438252bb57b20430954f7e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a0bc23215ae9d6b73e08e342ead2b53a4bdb3dc4b76157690993e68d14ccd33c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-10-08T20:53:13Z",
    "title_canon_sha256": "637d21be4242392b43c70f445b00024cf733d889852316f348c9b56f67c82ca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02582",
    "kind": "arxiv",
    "version": 1
  }
}