Pith Number

pith:7W7I5CR4

pith:2018:7W7I5CR4ASFVG3SNCEFITNQ3KQ

not attested not anchored not stored refs pending

On the number of fully weighted zero-sum subsequences

Ab\'ilio Lemos, Allan O. Moura, Anderson T. Silva, B. K. Moriya

arxiv:1811.03890 v1 · 2018-11-09 · 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{7W7I5CR4ASFVG3SNCEFITNQ3KQ}

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	2026-05-17T23:57:02.467276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdbe8e8a3c048b536e4d110a89b61b540fba921149316ad4c009967f601e71be

Aliases

arxiv: 1811.03890 · arxiv_version: 1811.03890v1 · doi: 10.48550/arxiv.1811.03890 · pith_short_12: 7W7I5CR4ASFV · pith_short_16: 7W7I5CR4ASFVG3SN · pith_short_8: 7W7I5CR4

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/7W7I5CR4ASFVG3SNCEFITNQ3KQ \
  | 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: fdbe8e8a3c048b536e4d110a89b61b540fba921149316ad4c009967f601e71be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02777de58f02ea4d275835d46d5d703a54017115208a2e13fcaa3226988a57fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-09T13:24:00Z",
    "title_canon_sha256": "75d69826ba8857e17d8849cd9a21cef7a1d0ce5a3effea8635882fb9c3434080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03890",
    "kind": "arxiv",
    "version": 1
  }
}