Pith Number

pith:R6LKGQNT

pith:2016:R6LKGQNT56RYIPKUDFZZTJIIFJ

not attested not anchored not stored refs pending

New representations for $\sigma(q)$ via reciprocity theorems

Atul Dixit, Koustav Banerjee

arxiv:1607.05651 v1 · 2016-07-19 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6LKGQNT56RYIPKUDFZZTJIIFJ}

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	2026-05-18T01:10:46.373731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f96a341b3efa3843d54197399a5082a76d9619ea27e3c11ce40e9184196936b

Aliases

arxiv: 1607.05651 · arxiv_version: 1607.05651v1 · doi: 10.48550/arxiv.1607.05651 · pith_short_12: R6LKGQNT56RY · pith_short_16: R6LKGQNT56RYIPKU · pith_short_8: R6LKGQNT

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/R6LKGQNT56RYIPKUDFZZTJIIFJ \
  | 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: 8f96a341b3efa3843d54197399a5082a76d9619ea27e3c11ce40e9184196936b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c2cf214517a38f9c341d2b1a4c3131b184cc7fb356baff258d5bf226f727d41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-19T16:32:50Z",
    "title_canon_sha256": "4d9741e2a57427c85426e261db6c2558463bceaf6e876e912f63716747cab450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05651",
    "kind": "arxiv",
    "version": 1
  }
}