Pith Number

pith:D4BXLKTE

pith:2015:D4BXLKTEFKLPQJ25BG3QBWJ5X3

not attested not anchored not stored refs pending

Shortest Distance in Modular Cubic Polynomials

Tsz Ho Chan

arxiv:1510.01614 v1 · 2015-09-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4BXLKTEFKLPQJ25BG3QBWJ5X3}

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	2026-05-18T01:30:56.459981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f0375aa642a96f8275d09b700d93dbef5a5aa4808d72c4ffe046cffed5bbb07

Aliases

arxiv: 1510.01614 · arxiv_version: 1510.01614v1 · doi: 10.48550/arxiv.1510.01614 · pith_short_12: D4BXLKTEFKLP · pith_short_16: D4BXLKTEFKLPQJ25 · pith_short_8: D4BXLKTE

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/D4BXLKTEFKLPQJ25BG3QBWJ5X3 \
  | 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: 1f0375aa642a96f8275d09b700d93dbef5a5aa4808d72c4ffe046cffed5bbb07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4f073fb6cd2a5ccc1941f11997166320aa875d91d587b1429080f6c26f9b7a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-24T15:30:57Z",
    "title_canon_sha256": "87c7c353573015c798595fdf159da3bda68230db81ffdeb59c025705557d6fd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01614",
    "kind": "arxiv",
    "version": 1
  }
}