Pith Number

pith:JKKIHFD6

pith:2011:JKKIHFD64JQBADEMO5JMGBEQPL

not attested not anchored not stored refs pending

Weighted Zero-Sum Problems Over $C_3^r$

Ab\'ilio Lemos, Diego Marques, Hemar Godinho

arxiv:1201.0276 v1 · 2011-12-31 · 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{JKKIHFD64JQBADEMO5JMGBEQPL}

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	2026-05-18T04:05:25.568121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9483947ee260100c8c7752c304907ad40f91142731b5b343ead57142d23f7a

Aliases

arxiv: 1201.0276 · arxiv_version: 1201.0276v1 · doi: 10.48550/arxiv.1201.0276 · pith_short_12: JKKIHFD64JQB · pith_short_16: JKKIHFD64JQBADEM · pith_short_8: JKKIHFD6

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/JKKIHFD64JQBADEMO5JMGBEQPL \
  | 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: 4a9483947ee260100c8c7752c304907ad40f91142731b5b343ead57142d23f7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c73a604a37ce9f0d7651951923929036bdcec12470925e46c2d4b89e8e32af",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-31T15:56:41Z",
    "title_canon_sha256": "2c24ea6aa7864ac97676e6111600c2bbd92564df752d2b0a04a588a67c25a444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0276",
    "kind": "arxiv",
    "version": 1
  }
}