Pith Number

pith:4R5KBO5D

pith:2013:4R5KBO5DZ5S4THK36JJAW5EVJ6

not attested not anchored not stored refs pending

Symmetric functions of two noncommuting variables

Jim Agler, N. J. Young

arxiv:1307.1588 v1 · 2013-07-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4R5KBO5DZ5S4THK36JJAW5EVJ6}

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	2026-05-18T03:19:12.463953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47aa0bba3cf65c99d5bf2520b74954f983e28bdfad01b1a149e4c5e6eabed4a

Aliases

arxiv: 1307.1588 · arxiv_version: 1307.1588v1 · doi: 10.48550/arxiv.1307.1588 · pith_short_12: 4R5KBO5DZ5S4 · pith_short_16: 4R5KBO5DZ5S4THK3 · pith_short_8: 4R5KBO5D

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/4R5KBO5DZ5S4THK36JJAW5EVJ6 \
  | 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: e47aa0bba3cf65c99d5bf2520b74954f983e28bdfad01b1a149e4c5e6eabed4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a525c48bcf1b062b8720c8c1df4dfda22762f0629a65ff21c99c939032a3a8ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-05T11:52:56Z",
    "title_canon_sha256": "2f4395704a37dee3a4f3f73200f1b9b3d26b1001df2529e296c978d77b322cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1588",
    "kind": "arxiv",
    "version": 1
  }
}