Pith Number

pith:2UEJFNVV

pith:2015:2UEJFNVV3QW2CEXUBLGEYQKV5Y

not attested not anchored not stored refs pending

Full escape of mass for the diagonal group

Uri Shapira

arxiv:1511.07251 v1 · 2015-11-23 · math.DS · 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{2UEJFNVV3QW2CEXUBLGEYQKV5Y}

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	2026-05-18T01:26:11.847948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d50892b6b5dc2da112f40acc4c4155ee267afe72464869128ca6a0bc0346189e

Aliases

arxiv: 1511.07251 · arxiv_version: 1511.07251v1 · doi: 10.48550/arxiv.1511.07251 · pith_short_12: 2UEJFNVV3QW2 · pith_short_16: 2UEJFNVV3QW2CEXU · pith_short_8: 2UEJFNVV

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/2UEJFNVV3QW2CEXUBLGEYQKV5Y \
  | 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: d50892b6b5dc2da112f40acc4c4155ee267afe72464869128ca6a0bc0346189e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d651cd0ba80a5fb43429af82cffb98295b5c54fb3b7a70b4e799111ad82317c9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-23T14:55:01Z",
    "title_canon_sha256": "9689f21c6166540e0161ae61dd77a2f5aafe61ddd7505f7e9c6bdf113f387425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07251",
    "kind": "arxiv",
    "version": 1
  }
}