Pith Number

pith:R5IV62UU

pith:2019:R5IV62UUZ3H54AEDZQ4I5O6ISA

not attested not anchored not stored refs pending

Small doublings in abelian groups of prime power torsion

Souktik Roy, Yifan Jing

arxiv:1901.05606 v2 · 2019-01-17 · math.CO · 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{R5IV62UUZ3H54AEDZQ4I5O6ISA}

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	2026-05-17T23:55:07.052844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f515f6a94cecfde0083cc388ebbc89007ae8a1bc25b68f2fa54d0e4a221f0c0

Aliases

arxiv: 1901.05606 · arxiv_version: 1901.05606v2 · doi: 10.48550/arxiv.1901.05606 · pith_short_12: R5IV62UUZ3H5 · pith_short_16: R5IV62UUZ3H54AED · pith_short_8: R5IV62UU

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/R5IV62UUZ3H54AEDZQ4I5O6ISA \
  | 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: 8f515f6a94cecfde0083cc388ebbc89007ae8a1bc25b68f2fa54d0e4a221f0c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4644421901a33833cd84b6f182aa36c8d64944e292615a95905278f32fbf6141",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-17T03:49:54Z",
    "title_canon_sha256": "2798736789560cdfc3eb5ee9efa7a9ab4018850e74fd1ad5a3d20562f1128ba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05606",
    "kind": "arxiv",
    "version": 2
  }
}