Pith Number

pith:SGMJJ6T4

pith:2023:SGMJJ6T4GL7M777XZIYX2HHMFE

not attested not anchored not stored refs pending

Additive structure in convex translates

Ethan Patrick White, Gabriel Currier, Jozsef Solymosi

arxiv:2302.13949 v1 · 2023-02-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGMJJ6T4GL7M777XZIYX2HHMFE}

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	2026-07-05T05:45:52.807925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919894fa7c32fecffff7ca317d1cec29192494c863334f4988af76ca89d41258

Aliases

arxiv: 2302.13949 · arxiv_version: 2302.13949v1 · doi: 10.48550/arxiv.2302.13949 · pith_short_12: SGMJJ6T4GL7M · pith_short_16: SGMJJ6T4GL7M777X · pith_short_8: SGMJJ6T4

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/SGMJJ6T4GL7M777XZIYX2HHMFE \
  | 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: 919894fa7c32fecffff7ca317d1cec29192494c863334f4988af76ca89d41258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2612659b2cebbb5daec63607a5a623329571c2e4c72a05dcf07e6ccdd6aa9a12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-02-27T16:51:02Z",
    "title_canon_sha256": "e7aede59ac228a1b04d87a4563c0ad1a431b23037dd2777ab3faeea5d5e78fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.13949",
    "kind": "arxiv",
    "version": 1
  }
}