Pith Number

pith:EX7IACGP

pith:2013:EX7IACGPW7DKFN6R6CUKNALTTG

not attested not anchored not stored refs pending

Some new problems in additive combinatorics

Zhi-Wei Sun

arxiv:1309.1679 v9 · 2013-09-06 · math.NT · 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{EX7IACGPW7DKFN6R6CUKNALTTG}

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	2026-07-05T00:44:55.336965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25fe8008cfb7c6a2b7d1f0a8a6817399a22930bff1d97207a28677030650bd1f

Aliases

arxiv: 1309.1679 · arxiv_version: 1309.1679v9 · doi: 10.48550/arxiv.1309.1679 · pith_short_12: EX7IACGPW7DK · pith_short_16: EX7IACGPW7DKFN6R · pith_short_8: EX7IACGP

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/EX7IACGPW7DKFN6R6CUKNALTTG \
  | 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: 25fe8008cfb7c6a2b7d1f0a8a6817399a22930bff1d97207a28677030650bd1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82bfc330b699703b9b4400901715d3b1ee369ced87eba8b0a32b6bd3a6b17ad",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-06T15:48:06Z",
    "title_canon_sha256": "14fb3a7166394b53afb0ed220de29c825bd19f33421ec6b1ec4fb5cfd1a78ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1679",
    "kind": "arxiv",
    "version": 9
  }
}