Pith Number

pith:A2E7XOAS

pith:2026:A2E7XOASUQI4IPHLBJMW32GW6H

not attested not anchored not stored refs pending

Computing Tools for Translation-Invariant Total Orders

Emma Yicheng Lou, Shaotian Sun, Yifan Jing, Yuxuan Wu

arxiv:2607.11709 v1 · 2026-07-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2E7XOASUQI4IPHLBJMW32GW6H}

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	2026-07-14T02:22:20.116366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0689fbb812a411c43ceb0a596de8d6f1e147390bcb99053b2fed7161390d44fa

Aliases

arxiv: 2607.11709 · arxiv_version: 2607.11709v1 · doi: 10.48550/arxiv.2607.11709 · pith_short_12: A2E7XOASUQI4 · pith_short_16: A2E7XOASUQI4IPHL · pith_short_8: A2E7XOAS

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/A2E7XOASUQI4IPHLBJMW32GW6H \
  | 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: 0689fbb812a411c43ceb0a596de8d6f1e147390bcb99053b2fed7161390d44fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ee611266de27883c91412b94772a895e3f2a687a04f95bdf4b2cd6128f6657",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-13T15:37:31Z",
    "title_canon_sha256": "aec0697af002d15029439a682be4fb5995a8fb01b06678a7fd20293c496f4342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11709",
    "kind": "arxiv",
    "version": 1
  }
}