Pith Number

pith:PA3I7UXJ

pith:2016:PA3I7UXJNFTK76ZTNNF7OFW3FE

not attested not anchored not stored refs pending

Congruence classes of triangles in $\mathbb{F}_p^2$

Le Anh Vinh, Pham Van Thang

arxiv:1610.07408 v3 · 2016-10-24 · 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{PA3I7UXJNFTK76ZTNNF7OFW3FE}

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	2026-05-18T00:57:43.679482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78368fd2e96966affb336b4bf716db2904fa121cfdb81049dc41017d12a53a77

Aliases

arxiv: 1610.07408 · arxiv_version: 1610.07408v3 · doi: 10.48550/arxiv.1610.07408 · pith_short_12: PA3I7UXJNFTK · pith_short_16: PA3I7UXJNFTK76ZT · pith_short_8: PA3I7UXJ

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/PA3I7UXJNFTK76ZTNNF7OFW3FE \
  | 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: 78368fd2e96966affb336b4bf716db2904fa121cfdb81049dc41017d12a53a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eecb05a536600d9718cf1f78af793712c631a3be3271784e47b708467ead4a78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-24T13:40:48Z",
    "title_canon_sha256": "d4b046a1617cc24bfdfd589a5e79bd7d5618a318a9257c7c0163a386c231e9a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07408",
    "kind": "arxiv",
    "version": 3
  }
}