Pith Number

pith:7FPJTHGT

pith:2016:7FPJTHGTDIYECKRXQACZIPX4KF

not attested not anchored not stored refs pending

Elementary symmetric polynomials in Stanley--Reisner face ring

Jun Ma, Yi Sun, Zhi L\"u

arxiv:1602.08837 v1 · 2016-02-29 · math.AT · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FPJTHGTDIYECKRXQACZIPX4KF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:19:51.838338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f95e999cd31a30412a378005943efc5178be215f67e10377192ef5d9dfc71d0f

Aliases

arxiv: 1602.08837 · arxiv_version: 1602.08837v1 · doi: 10.48550/arxiv.1602.08837 · pith_short_12: 7FPJTHGTDIYE · pith_short_16: 7FPJTHGTDIYECKRX · pith_short_8: 7FPJTHGT

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/7FPJTHGTDIYECKRXQACZIPX4KF \
  | 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: f95e999cd31a30412a378005943efc5178be215f67e10377192ef5d9dfc71d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "103513f1f2bc67655748cb452f56006b1191df9be4f10348c97aa07da2fd2184",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-02-29T06:21:47Z",
    "title_canon_sha256": "e165f13d7f014673e559020058ee8cbdc997660726e18e0a6882681073650590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08837",
    "kind": "arxiv",
    "version": 1
  }
}