Pith Number

pith:36CMDICZ

pith:2018:36CMDICZG6M3XHIVBIBMXQB4YR

not attested not anchored not stored refs pending

On the existence of symmetric minimizers

Athanasios Stylianou

arxiv:1806.02408 v2 · 2018-06-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36CMDICZG6M3XHIVBIBMXQB4YR}

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	2026-05-18T00:11:56.681719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df84c1a0593799bb9d150a02cbc03cc4562c4626b7c91a11de0fc998fe05940c

Aliases

arxiv: 1806.02408 · arxiv_version: 1806.02408v2 · doi: 10.48550/arxiv.1806.02408 · pith_short_12: 36CMDICZG6M3 · pith_short_16: 36CMDICZG6M3XHIV · pith_short_8: 36CMDICZ

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/36CMDICZG6M3XHIVBIBMXQB4YR \
  | 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: df84c1a0593799bb9d150a02cbc03cc4562c4626b7c91a11de0fc998fe05940c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3185518dd9f51cf9e600bbad5247ea0be6fd9aa34ae8a1f835cfbcab39784d36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-06T20:17:35Z",
    "title_canon_sha256": "13f6dc8ccb27b4a6ce93b487d4b493e23c4904ddb753f60e65ff9661b6ff7e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02408",
    "kind": "arxiv",
    "version": 2
  }
}