Pith Number

pith:YFFHNNE3

pith:2017:YFFHNNE3BZUR52Z47XPGEHM32N

not attested not anchored not stored refs pending

The largest coefficient of the highest root and the second smallest exponent

Tan Nhat Tran

arxiv:1704.03775 v2 · 2017-04-12 · 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{YFFHNNE3BZUR52Z47XPGEHM32N}

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	2026-07-05T01:37:22.184015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14a76b49b0e691eeb3cfdde621d9bd354b5fbecdabc962a21af0be4b50ccc00

Aliases

arxiv: 1704.03775 · arxiv_version: 1704.03775v2 · doi: 10.48550/arxiv.1704.03775 · pith_short_12: YFFHNNE3BZUR · pith_short_16: YFFHNNE3BZUR52Z4 · pith_short_8: YFFHNNE3

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/YFFHNNE3BZUR52Z47XPGEHM32N \
  | 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: c14a76b49b0e691eeb3cfdde621d9bd354b5fbecdabc962a21af0be4b50ccc00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02786af8f9b41315d62e103ae32749171794ddb3ed205c10244c9c8e6c048d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-12T14:45:29Z",
    "title_canon_sha256": "6b40fbd85b63762dc8c9917d6ce76f7c452cd1b7739de563fe73f9835bc77fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03775",
    "kind": "arxiv",
    "version": 2
  }
}