Pith Number

pith:GCNDXXXH

pith:2012:GCNDXXXHPM7FS2SNMMTU7E4LMB

not attested not anchored not stored refs pending

Elements of Polya-Schur theory in finite difference setting

B.Shapiro, I. Krasikov, P. Br\"and\'en

arxiv:1204.2963 v2 · 2012-04-13 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCNDXXXHPM7FS2SNMMTU7E4LMB}

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	2026-05-18T03:20:09.906031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309a3bdee77b3e596a4d63274f938b60562bd551bf6ca0ec8012664ad64d3f23

Aliases

arxiv: 1204.2963 · arxiv_version: 1204.2963v2 · doi: 10.48550/arxiv.1204.2963 · pith_short_12: GCNDXXXHPM7F · pith_short_16: GCNDXXXHPM7FS2SN · pith_short_8: GCNDXXXH

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/GCNDXXXHPM7FS2SNMMTU7E4LMB \
  | 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: 309a3bdee77b3e596a4d63274f938b60562bd551bf6ca0ec8012664ad64d3f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdee3b8e227985ee729e45196f0f12fd9e029828bf555606cb2ea78346b6db61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-13T11:56:39Z",
    "title_canon_sha256": "4f00c1d425e67bfa6304f514e92277cf9b052e98cf2b76fba81491d8eb8f7b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2963",
    "kind": "arxiv",
    "version": 2
  }
}