Pith Number

pith:UAGFDP4X

pith:2019:UAGFDP4XN4PDYFBJI3SIVKQGCH

not attested not anchored not stored refs pending

Bessel Descents and Branching Problems

Dihua Jiang, Lei Zhang

arxiv:1905.02307 v1 · 2019-05-07 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UAGFDP4XN4PDYFBJI3SIVKQGCH}

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	2026-05-17T23:46:51.820115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a00c51bf976f1e3c142946e48aaa0611dcd97c20466f49aaff2529bf69052366

Aliases

arxiv: 1905.02307 · arxiv_version: 1905.02307v1 · doi: 10.48550/arxiv.1905.02307 · pith_short_12: UAGFDP4XN4PD · pith_short_16: UAGFDP4XN4PDYFBJ · pith_short_8: UAGFDP4X

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/UAGFDP4XN4PDYFBJI3SIVKQGCH \
  | 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: a00c51bf976f1e3c142946e48aaa0611dcd97c20466f49aaff2529bf69052366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dffa58b6378d0894d120b77abe39c5ff4b5eb887bd3677d9f0f2244be2ecc5e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-07T00:54:52Z",
    "title_canon_sha256": "a20fdfe59ba3f071023493f998b301e04b67ce383d1aafb1eb317749d7eb2356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02307",
    "kind": "arxiv",
    "version": 1
  }
}