Pith Number

pith:TREPNGYH

pith:2021:TREPNGYHFW4GZA4TSJVUOWJK5E

not attested not anchored not stored refs pending

Maximal estimates for averages over space curves

Hyerim Ko, Sanghyuk Lee, Sewook Oh

arxiv:2102.07175 v2 · 2021-02-14 · 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{TREPNGYHFW4GZA4TSJVUOWJK5E}

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	2026-07-05T03:38:59.224339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c48f69b072db86c8393926b47592ae9138a3f5e2692bf652a6935649e544633

Aliases

arxiv: 2102.07175 · arxiv_version: 2102.07175v2 · doi: 10.48550/arxiv.2102.07175 · pith_short_12: TREPNGYHFW4G · pith_short_16: TREPNGYHFW4GZA4T · pith_short_8: TREPNGYH

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/TREPNGYHFW4GZA4TSJVUOWJK5E \
  | 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: 9c48f69b072db86c8393926b47592ae9138a3f5e2692bf652a6935649e544633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0dbe8b471ca885c112b6951d5eb33963db427bb9b94878da58175e2739c9f99",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-02-14T15:23:43Z",
    "title_canon_sha256": "a4336708eb453d81b636e25979463fcce2ad583acf690ae5a14ed0d3afc995f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.07175",
    "kind": "arxiv",
    "version": 2
  }
}