Pith Number

pith:4TIBKDFR

pith:2013:4TIBKDFRVQNYKIMF4MCCJY56FD

not attested not anchored not stored refs pending

The Lie algebra of the fundamental group of a surface as a symplectic module

Simion Filip

arxiv:1308.1529 v1 · 2013-08-07 · math.GT · math.GR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TIBKDFRVQNYKIMF4MCCJY56FD}

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	2026-05-18T03:16:30.915782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d0150cb1ac1b852185e30424e3be28c5a260befe22770c1f0da18137caab85

Aliases

arxiv: 1308.1529 · arxiv_version: 1308.1529v1 · doi: 10.48550/arxiv.1308.1529 · pith_short_12: 4TIBKDFRVQNY · pith_short_16: 4TIBKDFRVQNYKIMF · pith_short_8: 4TIBKDFR

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/4TIBKDFRVQNYKIMF4MCCJY56FD \
  | 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: e4d0150cb1ac1b852185e30424e3be28c5a260befe22770c1f0da18137caab85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f5493af9b2c0d3f1ef732ff20bd0d6e9306f2b4dbf79df56eb355186094258",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-07T10:19:18Z",
    "title_canon_sha256": "d1010105a902ba45817cd13be7bc060ac656230ae6f03b17bbb823a247078ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1529",
    "kind": "arxiv",
    "version": 1
  }
}