Pith Number

pith:YPGVKH6R

pith:2015:YPGVKH6RSLKDVN3XADT3CIIT7V

not attested not anchored not stored refs pending

An Analytic Model for Left-Invertible Weighted Shifts on Directed Trees

Sameer Chavan, Shailesh Trivedi

arxiv:1510.03075 v2 · 2015-10-11 · 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{YPGVKH6RSLKDVN3XADT3CIIT7V}

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	2026-05-18T00:44:25.121948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3cd551fd192d43ab77700e7b12113fd6d8952201f813aa221f3d05b2df2df62

Aliases

arxiv: 1510.03075 · arxiv_version: 1510.03075v2 · doi: 10.48550/arxiv.1510.03075 · pith_short_12: YPGVKH6RSLKD · pith_short_16: YPGVKH6RSLKDVN3X · pith_short_8: YPGVKH6R

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/YPGVKH6RSLKDVN3XADT3CIIT7V \
  | 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: c3cd551fd192d43ab77700e7b12113fd6d8952201f813aa221f3d05b2df2df62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f61587fb4ce6c574d2cecc905c25185c5e8756225c4e9b46a7dcf8b20a25531",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-11T16:28:57Z",
    "title_canon_sha256": "56caed18548dabc70348a850f634d95fd39923c1724e1f45972422f7e159ed6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03075",
    "kind": "arxiv",
    "version": 2
  }
}