Pith Number

pith:6X3O54YQ

pith:2026:6X3O54YQNMNV2XFX2SALG3GO2H

not attested not anchored not stored refs pending

Injectivity of symmetric polynomial maps on partitions

Katherine Tung, Rohith Thomas

arxiv:2606.19796 v1 · 2026-06-18 · 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{6X3O54YQNMNV2XFX2SALG3GO2H}

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	2026-06-19T16:12:35.446507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f6eef3106b1b5d5cb7d480b36cced1cd122f8e99ada8d250817a2928a027ba

Aliases

arxiv: 2606.19796 · arxiv_version: 2606.19796v1 · doi: 10.48550/arxiv.2606.19796 · pith_short_12: 6X3O54YQNMNV · pith_short_16: 6X3O54YQNMNV2XFX · pith_short_8: 6X3O54YQ

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/6X3O54YQNMNV2XFX2SALG3GO2H \
  | 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: f5f6eef3106b1b5d5cb7d480b36cced1cd122f8e99ada8d250817a2928a027ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e18025bf59d463b4422bba7b2360e237f6c2638da7893ed1a08e5560cc630b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-18T04:59:10Z",
    "title_canon_sha256": "e82608575d100c55af8fa2c69a4daf7e7d44590afae1839e8a313f98f563b0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19796",
    "kind": "arxiv",
    "version": 1
  }
}