Pith Number

pith:27X44BD6

pith:2017:27X44BD633QM6SWAEPE63CJJYN

not attested not anchored not stored refs pending

On weak peak quasisymmetric functions

Yunnan Li

arxiv:1708.08329 v1 · 2017-08-28 · 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{27X44BD633QM6SWAEPE63CJJYN}

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	2026-05-18T00:05:24.056780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7efce047edee0cf4ac023c9ed8929c360f5a208e3d749db63eaf444ce868d39

Aliases

arxiv: 1708.08329 · arxiv_version: 1708.08329v1 · doi: 10.48550/arxiv.1708.08329 · pith_short_12: 27X44BD633QM · pith_short_16: 27X44BD633QM6SWA · pith_short_8: 27X44BD6

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/27X44BD633QM6SWAEPE63CJJYN \
  | 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: d7efce047edee0cf4ac023c9ed8929c360f5a208e3d749db63eaf444ce868d39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efab255e706ee8c7e75e131811f02178c60b99fdcb61c9cead35697277d4cb7",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-28T14:23:20Z",
    "title_canon_sha256": "c3a7ee96ecded755864fa2b26263858020c854ddefca846a8e00afde74ac0813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08329",
    "kind": "arxiv",
    "version": 1
  }
}