Pith Number

pith:HP65IUTF

pith:2019:HP65IUTF3MYTCAPOTEDLOYMNHS

not attested not anchored not stored refs pending

The solution of the Brannan conjecture

Erhan Deniz, Murat \c{C}aglar, R\'obert Sz\'asz

arxiv:1906.09498 v1 · 2019-06-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HP65IUTF3MYTCAPOTEDLOYMNHS}

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	2026-05-17T23:42:37.787524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bfdd45265db313101ee9906b7618d3c93d0509c5a09df5a822c616146f2cfb3

Aliases

arxiv: 1906.09498 · arxiv_version: 1906.09498v1 · doi: 10.48550/arxiv.1906.09498 · pith_short_12: HP65IUTF3MYT · pith_short_16: HP65IUTF3MYTCAPO · pith_short_8: HP65IUTF

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/HP65IUTF3MYTCAPOTEDLOYMNHS \
  | 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: 3bfdd45265db313101ee9906b7618d3c93d0509c5a09df5a822c616146f2cfb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04aa5a8173995623f49e47b9af4162707224a5e73764138b840c8c3f2eeb8ae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-06-22T20:21:53Z",
    "title_canon_sha256": "1800e058df5cfe8f972dbbfb013d8c23650a4ec537a4c58025ce006026b5f9bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09498",
    "kind": "arxiv",
    "version": 1
  }
}