Pith Number

pith:V3S6RI4S

pith:2019:V3S6RI4SRKDI37FX3T5523L5NI

not attested not anchored not stored refs pending

Least gradient problem on annuli

Samer Dweik, Wojciech G\'orny

arxiv:1908.09113 v1 · 2019-08-24 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3S6RI4SRKDI37FX3T5523L5NI}

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	2026-07-04T23:59:36.881775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee5e8a3928a868dfcb7dcfbdd6d7d6a0535db13247e992fd0955fb7a95f0de7

Aliases

arxiv: 1908.09113 · arxiv_version: 1908.09113v1 · doi: 10.48550/arxiv.1908.09113 · pith_short_12: V3S6RI4SRKDI · pith_short_16: V3S6RI4SRKDI37FX · pith_short_8: V3S6RI4S

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/V3S6RI4SRKDI37FX3T5523L5NI \
  | 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: aee5e8a3928a868dfcb7dcfbdd6d7d6a0535db13247e992fd0955fb7a95f0de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c69e68ed9f63ffdf1f0cb65b993e59c7eb53a73b3f4225653bb1a747141de1",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-24T09:25:46Z",
    "title_canon_sha256": "12e39120e9cb017aaf972305dfacf058a0f46cc9a7e20aa13436e16be0ccee18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09113",
    "kind": "arxiv",
    "version": 1
  }
}