Pith Number

pith:2X5V5QY2

pith:2016:2X5V5QY2E6YF5SKKRJ3RBP4ROS

not attested not anchored not stored refs pending

A general trace formula for the differential operator on a segment with the last coefficient perturbed by a finite signed measure

A.I. Nazarov, E.D. Galkovskii

arxiv:1612.02410 v1 · 2016-12-07 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2X5V5QY2E6YF5SKKRJ3RBP4ROS}

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	2026-05-18T00:55:34.757737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5fb5ec31a27b05ec94a8a7710bf9174b1db456a006e4a410efe26d4aa874be1

Aliases

arxiv: 1612.02410 · arxiv_version: 1612.02410v1 · doi: 10.48550/arxiv.1612.02410 · pith_short_12: 2X5V5QY2E6YF · pith_short_16: 2X5V5QY2E6YF5SKK · pith_short_8: 2X5V5QY2

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/2X5V5QY2E6YF5SKKRJ3RBP4ROS \
  | 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: d5fb5ec31a27b05ec94a8a7710bf9174b1db456a006e4a410efe26d4aa874be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e64d91be40d1fa6d22065322b0ea83b0afdb8bbc119e3b1143e5726a396ccba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-12-07T20:41:26Z",
    "title_canon_sha256": "c9d0e94c56a2a28a1e90f228164b6e53a085f2d86c4f56ce942da8e3dd508016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02410",
    "kind": "arxiv",
    "version": 1
  }
}