Pith Number

pith:3QTGDEJU

pith:2016:3QTGDEJUFGN3AMRFX7BZ3FZ733

not attested not anchored not stored refs pending

On polynomial functions on non-conmmutative groups

E. V. Shulman, J. M. Almira

arxiv:1612.03826 v3 · 2016-12-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QTGDEJUFGN3AMRFX7BZ3FZ733}

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	2026-05-18T00:34:31.367626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc26619134299bb03225bfc39d973fdede68f83dbb80888d2a9851c2c8db5b28

Aliases

arxiv: 1612.03826 · arxiv_version: 1612.03826v3 · doi: 10.48550/arxiv.1612.03826 · pith_short_12: 3QTGDEJUFGN3 · pith_short_16: 3QTGDEJUFGN3AMRF · pith_short_8: 3QTGDEJU

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/3QTGDEJUFGN3AMRFX7BZ3FZ733 \
  | 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: dc26619134299bb03225bfc39d973fdede68f83dbb80888d2a9851c2c8db5b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a3fac58b5723ae40d764b0cb118a604996c7942cbbb305c9d8212361c96debb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-12T18:07:43Z",
    "title_canon_sha256": "c01a2ffc42ebddbd4c656da9eb2e86d08f7fc3f8eaeb3af51daa502f6a20c11d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03826",
    "kind": "arxiv",
    "version": 3
  }
}