Pith Number

pith:RWBUZCOG

pith:2014:RWBUZCOGBYTEO2TDTFMOILYKBG

not attested not anchored not stored refs pending

Birch's theorem with shifts

Sam Chow

arxiv:1410.7789 v2 · 2014-10-28 · 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{RWBUZCOGBYTEO2TDTFMOILYKBG}

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	2026-05-18T00:22:40.647920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d834c89c60e26476a639958e42f0a098fc276a00653d64169997a714b95c632

Aliases

arxiv: 1410.7789 · arxiv_version: 1410.7789v2 · doi: 10.48550/arxiv.1410.7789 · pith_short_12: RWBUZCOGBYTE · pith_short_16: RWBUZCOGBYTEO2TD · pith_short_8: RWBUZCOG

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/RWBUZCOGBYTEO2TDTFMOILYKBG \
  | 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: 8d834c89c60e26476a639958e42f0a098fc276a00653d64169997a714b95c632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34faf86ba97e887d6cf45dadc204767057a1b3a21fd6047908502d0e50e1d94a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-28T20:20:27Z",
    "title_canon_sha256": "f7c488375613c157fd702e3cb8533e002bdea3a29e5a1e69fc6b575ad1b6f1d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7789",
    "kind": "arxiv",
    "version": 2
  }
}