Pith Number

pith:XTWSGS6X

pith:2012:XTWSGS6XJSRC3HYCKO7YOLJARW

not attested not anchored not stored refs pending

Analytic continuation of solutions of the pantograph equation by means of $\theta$-modular formula

Changgui Zhang

arxiv:1202.0423 v1 · 2012-02-02 · 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{XTWSGS6XJSRC3HYCKO7YOLJARW}

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	2026-05-18T04:03:18.344213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bced234bd74ca22d9f0253bf872d208d86576c0da9a9ae1a4ede694102579d01

Aliases

arxiv: 1202.0423 · arxiv_version: 1202.0423v1 · doi: 10.48550/arxiv.1202.0423 · pith_short_12: XTWSGS6XJSRC · pith_short_16: XTWSGS6XJSRC3HYC · pith_short_8: XTWSGS6X

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/XTWSGS6XJSRC3HYCKO7YOLJARW \
  | 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: bced234bd74ca22d9f0253bf872d208d86576c0da9a9ae1a4ede694102579d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a8fac8d6605c2a2b7343612d55b397882eb5bb4ec163151f14212373d7a285",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-02T12:46:13Z",
    "title_canon_sha256": "e96602ce07165b9e79c99c6065dab0a9e7909b2ff8771a5483c104683b0a2bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0423",
    "kind": "arxiv",
    "version": 1
  }
}