Pith Number

pith:ACBFI3LW

pith:2021:ACBFI3LWMRMUW27UVAFEXU7TSL

not attested not anchored not stored refs pending

Linear Delay-Differential operator of a meromorphic function sharing two sets or small function together with values with its $c$-shift or $q$-shift

Abhijit Banerjee, Arpita Roy

arxiv:2109.11257 v1 · 2021-09-23 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACBFI3LWMRMUW27UVAFEXU7TSL}

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	2026-07-05T03:16:56.080875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0082546d7664594b6bf4a80a4bd3f392fbbaaa301fc5db6ec085650912a4c6ad

Aliases

arxiv: 2109.11257 · arxiv_version: 2109.11257v1 · doi: 10.48550/arxiv.2109.11257 · pith_short_12: ACBFI3LWMRMU · pith_short_16: ACBFI3LWMRMUW27U · pith_short_8: ACBFI3LW

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/ACBFI3LWMRMUW27UVAFEXU7TSL \
  | 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: 0082546d7664594b6bf4a80a4bd3f392fbbaaa301fc5db6ec085650912a4c6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1355dbb741950528f441fae99fd04d5cbffd3032d112951ebad508e702bfba7b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2021-09-23T09:55:00Z",
    "title_canon_sha256": "0242f4a5d9093da258b22fd8150658d84cf464bb4ec08e55a6055c9c39a21545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.11257",
    "kind": "arxiv",
    "version": 1
  }
}