pith. sign in
Pith Number

pith:7E3M2FJD

pith:2014:7E3M2FJDC6QTMES27T7Y55LDOR
not attested not anchored not stored refs pending

Multiple Modular Values and the relative completion of the fundamental group of $M_{1,1}$

Francis Brown

arxiv:1407.5167 v4 · 2014-07-19 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7E3M2FJDC6QTMES27T7Y55LDOR}

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.

Cited by

4 papers in Pith

Receipt and verification
First computed 2026-05-18T00:42:13.775966Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f936cd152317a136125afcff8ef563746deb1bedc1a454c5df551bd59bf109e9

Aliases

arxiv: 1407.5167 · arxiv_version: 1407.5167v4 · doi: 10.48550/arxiv.1407.5167 · pith_short_12: 7E3M2FJDC6QT · pith_short_16: 7E3M2FJDC6QTMES2 · pith_short_8: 7E3M2FJD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7E3M2FJDC6QTMES27T7Y55LDOR \
  | 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: f936cd152317a136125afcff8ef563746deb1bedc1a454c5df551bd59bf109e9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "041e5f3d22727bba9205036b10b1c359f1a4bc61a5fb39d338946a3425195016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-19T09:40:47Z",
    "title_canon_sha256": "a9db5194a3e7992082a6029f1c54e7de51eae89b3b0668d88b448815d80ca430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5167",
    "kind": "arxiv",
    "version": 4
  }
}