Pith Number

pith:XYXZI2JM

pith:2026:XYXZI2JMGZE6R6C3KYQUF2YUOR

not attested not anchored not stored refs pending

On 3d Quantum Trace Maps

Andrew Kricker, Qingjing Chen

arxiv:2606.13268 v1 · 2026-06-11 · 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{XYXZI2JMGZE6R6C3KYQUF2YUOR}

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	2026-06-12T01:09:49.675135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be2f94692c3649e8f85b562142eb1474411e9b965be6bb0afdfc2889aa47db1d

Aliases

arxiv: 2606.13268 · arxiv_version: 2606.13268v1 · doi: 10.48550/arxiv.2606.13268 · pith_short_12: XYXZI2JMGZE6 · pith_short_16: XYXZI2JMGZE6R6C3 · pith_short_8: XYXZI2JM

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/XYXZI2JMGZE6R6C3KYQUF2YUOR \
  | 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: be2f94692c3649e8f85b562142eb1474411e9b965be6bb0afdfc2889aa47db1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c8a241ab58caf26da7eadca8a6f2ae34f55b55f50f181b6ef3abdfcb9bd220",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-11T12:24:39Z",
    "title_canon_sha256": "30898beb418f7edfaff72a39b0a960c170e235b2f78efb3ae75787176c14938c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13268",
    "kind": "arxiv",
    "version": 1
  }
}