Pith Number

pith:ID4EEFTE

pith:2026:ID4EEFTEVXUKQYH4H5335SEETS

not attested not anchored not stored refs pending

On quantitative aspects of trace polynomials

Ilya Kapovich

arxiv:2605.25265 v1 · 2026-05-24 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ID4EEFTEVXUKQYH4H5335SEETS}

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	2026-05-26T02:04:26.206078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f8421664ade8a860fc3f77bec8849cbd35ce1200286655a1792b7c0c2c48f2

Aliases

arxiv: 2605.25265 · arxiv_version: 2605.25265v1 · doi: 10.48550/arxiv.2605.25265 · pith_short_12: ID4EEFTEVXUK · pith_short_16: ID4EEFTEVXUKQYH4 · pith_short_8: ID4EEFTE

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/ID4EEFTEVXUKQYH4H5335SEETS \
  | 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: 40f8421664ade8a860fc3f77bec8849cbd35ce1200286655a1792b7c0c2c48f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "494383948220ec3020d94cb8de1ad89a86ead594f8e89e42ca00a42e5d51218e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-24T21:34:32Z",
    "title_canon_sha256": "9d98c86d1f4ac623b34e2d6fa8f45c58d6471672e1cea4b86f2d09050ba5ecbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25265",
    "kind": "arxiv",
    "version": 1
  }
}