Pith Number

pith:2T6Q2VVG

pith:2015:2T6Q2VVGKGDSCD5TKC3UJJ3Y4B

not attested not anchored not stored refs pending

The Eisenstein elements of modular symbols for level product of two distinct odd primes

Debargha Banerjee, Srilakshmi Krishnamoorthy

arxiv:1504.03831 v2 · 2015-04-15 · 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{2T6Q2VVGKGDSCD5TKC3UJJ3Y4B}

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	2026-05-18T01:20:11.884731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4fd0d56a65187210fb350b744a778e04e0f210b0b693f0c118ba51f572db881

Aliases

arxiv: 1504.03831 · arxiv_version: 1504.03831v2 · doi: 10.48550/arxiv.1504.03831 · pith_short_12: 2T6Q2VVGKGDS · pith_short_16: 2T6Q2VVGKGDSCD5T · pith_short_8: 2T6Q2VVG

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/2T6Q2VVGKGDSCD5TKC3UJJ3Y4B \
  | 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: d4fd0d56a65187210fb350b744a778e04e0f210b0b693f0c118ba51f572db881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "113108abfd8ed9b1f5337360b14f0c870cd76e66d11a43a9ec67262d5fac1088",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-15T09:13:27Z",
    "title_canon_sha256": "5b04df5e1240e8dd380eb8cead92dee1c8db5c249a74c8daa916592879339ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03831",
    "kind": "arxiv",
    "version": 2
  }
}