Pith Number

pith:AYWEA6SW

pith:2019:AYWEA6SWOKCZLVKNEYP7MRHSAC

not attested not anchored not stored refs pending

Second main theorems with weighted counting functions and its applications

Duc Thoan Pham, Hai Nam Nguyen, Van An Nguyen

arxiv:1902.04461 v1 · 2019-02-12 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYWEA6SWOKCZLVKNEYP7MRHSAC}

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	2026-05-17T23:54:12.217297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062c407a56728595d54d261ff644f2009284ed8a4f0f7105b10c261efc7817c2

Aliases

arxiv: 1902.04461 · arxiv_version: 1902.04461v1 · doi: 10.48550/arxiv.1902.04461 · pith_short_12: AYWEA6SWOKCZ · pith_short_16: AYWEA6SWOKCZLVKN · pith_short_8: AYWEA6SW

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/AYWEA6SWOKCZLVKNEYP7MRHSAC \
  | 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: 062c407a56728595d54d261ff644f2009284ed8a4f0f7105b10c261efc7817c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10054ca99d0229d6a0fe212bee1a76443b04b08665eb4719d5d749998586f642",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-02-12T16:04:04Z",
    "title_canon_sha256": "6a7511fdcde1e11ea86c1159be267278f59303dcb666779795b32fad622b0fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04461",
    "kind": "arxiv",
    "version": 1
  }
}