Pith Number

pith:GCFIXF3A

pith:2016:GCFIXF3ATXQX3V52OTVXHUFV5H

not attested not anchored not stored refs pending

Towards a polynomial basis of the algebra of peak quasisymmetric functions

Yunnan Li

arxiv:1605.08879 v1 · 2016-05-28 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCFIXF3ATXQX3V52OTVXHUFV5H}

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	2026-05-18T00:33:32.509727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308a8b97609de17dd7ba74eb73d0b5e9f49039c366eac54e642e1d66bf4f0f5c

Aliases

arxiv: 1605.08879 · arxiv_version: 1605.08879v1 · doi: 10.48550/arxiv.1605.08879 · pith_short_12: GCFIXF3ATXQX · pith_short_16: GCFIXF3ATXQX3V52 · pith_short_8: GCFIXF3A

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/GCFIXF3ATXQX3V52OTVXHUFV5H \
  | 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: 308a8b97609de17dd7ba74eb73d0b5e9f49039c366eac54e642e1d66bf4f0f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24f40ffd8ced3fb181cab30316abac3e6a9eb34de85b019dfe1524f4a9e0a2f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-28T12:01:28Z",
    "title_canon_sha256": "90bfb1562dbf776df44250aedfae737a7a3355d88cca5dcc0db3a2334f495b91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08879",
    "kind": "arxiv",
    "version": 1
  }
}