Pith Number

pith:DCLMCDOF

pith:2013:DCLMCDOF6QGNYMPXRBT6PLJL4P

not attested not anchored not stored refs pending

Eulerian series as modular forms revisited

Eric Mortenson

arxiv:1304.4012 v2 · 2013-04-15 · 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{DCLMCDOF6QGNYMPXRBT6PLJL4P}

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	2026-05-18T00:24:53.582336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1896c10dc5f40cdc31f78867e7ad2be3e974347752320b48dfa09a573139de42

Aliases

arxiv: 1304.4012 · arxiv_version: 1304.4012v2 · doi: 10.48550/arxiv.1304.4012 · pith_short_12: DCLMCDOF6QGN · pith_short_16: DCLMCDOF6QGNYMPX · pith_short_8: DCLMCDOF

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/DCLMCDOF6QGNYMPXRBT6PLJL4P \
  | 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: 1896c10dc5f40cdc31f78867e7ad2be3e974347752320b48dfa09a573139de42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af75d1a7df890e98e547f7a5cad2dcc9fcc4d6c73e3929bf332494fa1bcb50c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-15T07:59:08Z",
    "title_canon_sha256": "a96632338c3cf71c8320477c6546e47835385b4e33dc3afba861d4fa6dbc9a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4012",
    "kind": "arxiv",
    "version": 2
  }
}