Pith Number

pith:3ABTQFMJ

pith:2013:3ABTQFMJQ7NXL6FWJKGWQQCWON

not attested not anchored not stored refs pending

Local epsilon isomorphisms

David Loeffler, Otmar Venjakob, Sarah Livia Zerbes

arxiv:1303.1785 v1 · 2013-03-07 · 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{3ABTQFMJQ7NXL6FWJKGWQQCWON}

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	2026-05-18T01:28:15.362050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80338158987db75f8b64a8d68405673748486fd6d2886dc54043bd1d8adbe54

Aliases

arxiv: 1303.1785 · arxiv_version: 1303.1785v1 · doi: 10.48550/arxiv.1303.1785 · pith_short_12: 3ABTQFMJQ7NX · pith_short_16: 3ABTQFMJQ7NXL6FW · pith_short_8: 3ABTQFMJ

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/3ABTQFMJQ7NXL6FWJKGWQQCWON \
  | 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: d80338158987db75f8b64a8d68405673748486fd6d2886dc54043bd1d8adbe54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e21b435e1e5303b1869901d3bc4c527dc921d62161880f4836642448d3ae08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-07T19:23:36Z",
    "title_canon_sha256": "81e30bebd8dec6b1bf49a1d04e64e1b2aee8efad8e014ca0d4076ab576ecb477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1785",
    "kind": "arxiv",
    "version": 1
  }
}