Pith Number

pith:L3I7Z4BR

pith:2015:L3I7Z4BRN2UNRDQHKMINCPMVL4

not attested not anchored not stored refs pending

Elliptic multiple zeta values, Grothendieck-Teichm\"uller and mould theory

Leila Schneps

arxiv:1506.09050 v5 · 2015-06-30 · 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{L3I7Z4BRN2UNRDQHKMINCPMVL4}

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

1 paper in Pith

The double shuffle Lie algebra injects into the Kashiwara-Vergne Lie algebra

Receipt and verification

First computed	2026-07-05T10:44:34.863650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ed1fcf0316ea8d88e075310d13d955f0af7b8875c52b3e17810209d8b79866d

Aliases

arxiv: 1506.09050 · arxiv_version: 1506.09050v5 · doi: 10.48550/arxiv.1506.09050 · pith_short_12: L3I7Z4BRN2UN · pith_short_16: L3I7Z4BRN2UNRDQH · pith_short_8: L3I7Z4BR

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/L3I7Z4BRN2UNRDQHKMINCPMVL4 \
  | 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: 5ed1fcf0316ea8d88e075310d13d955f0af7b8875c52b3e17810209d8b79866d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064ee2d20b49ef2f9cae5e2f33da121b19241ae90bf800ec1f5f8a39bf030dfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-30T12:07:51Z",
    "title_canon_sha256": "db5578441c7ea38abb8236bf411bdd87d4ff75d1083388d6cae79024bb152433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09050",
    "kind": "arxiv",
    "version": 5
  }
}