Pith Number

pith:XX7ELARI

pith:2026:XX7ELARIVGRXJ4XDDHTLJMTMRG

not attested not anchored not stored refs pending

Some Remarks on $\tau$-Congruent Numbers

Debajyoti De, Shamik Das

arxiv:2605.27639 v1 · 2026-05-26 · 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{XX7ELARIVGRXJ4XDDHTLJMTMRG}

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	2026-05-28T01:04:45.027711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdfe458228a9a374f2e319e6b4b26c89b6a92fb12349c0141ae9c9c9b9c101a4

Aliases

arxiv: 2605.27639 · arxiv_version: 2605.27639v1 · doi: 10.48550/arxiv.2605.27639 · pith_short_12: XX7ELARIVGRX · pith_short_16: XX7ELARIVGRXJ4XD · pith_short_8: XX7ELARI

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/XX7ELARIVGRXJ4XDDHTLJMTMRG \
  | 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: bdfe458228a9a374f2e319e6b4b26c89b6a92fb12349c0141ae9c9c9b9c101a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d233526708437ffe302ff2d15861a9ba7cdc1c372b7129a460c8c4975fa174",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-26T19:57:59Z",
    "title_canon_sha256": "68b404c25bb90ae3af7c84e4f73888bee2c504ffe0aa36fa09c9859df841d29e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27639",
    "kind": "arxiv",
    "version": 1
  }
}