Pith Number

pith:TBYMTC7S

pith:2016:TBYMTC7SL2TDQDMKYHO7PIGJSP

not attested not anchored not stored refs pending

Contractivity and complete contractivity for finite dimensional Banach Spaces

Avijit Pal, Cherian Varughese, Gadadhar Misra

arxiv:1604.01872 v1 · 2016-04-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBYMTC7SL2TDQDMKYHO7PIGJSP}

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	2026-05-18T01:17:31.862349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9870c98bf25ea6380d8ac1ddf7a0c993f828cdcccaaf03bb002221411d46a381

Aliases

arxiv: 1604.01872 · arxiv_version: 1604.01872v1 · doi: 10.48550/arxiv.1604.01872 · pith_short_12: TBYMTC7SL2TD · pith_short_16: TBYMTC7SL2TDQDMK · pith_short_8: TBYMTC7S

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/TBYMTC7SL2TDQDMKYHO7PIGJSP \
  | 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: 9870c98bf25ea6380d8ac1ddf7a0c993f828cdcccaaf03bb002221411d46a381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d4b2035c88cd7016ef6005ac97fd75755f2799eda01bcb008b49ff699d0407",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-07T04:23:09Z",
    "title_canon_sha256": "70488bca9998ad0b5c1d1710c5d6db511016887c8ffde26fc03b6f61f14f9420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01872",
    "kind": "arxiv",
    "version": 1
  }
}