Pith Number

pith:7GVN5EMU

pith:2015:7GVN5EMUTBO2UP4GTMVJFZGSDQ

not attested not anchored not stored refs pending

On Symmetric Polynomials

Ilwoo Cho, Ryan Golden

arxiv:1511.08870 v1 · 2015-11-28 · 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{7GVN5EMUTBO2UP4GTMVJFZGSDQ}

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	2026-05-18T01:25:46.206876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9aade9194985daa3f869b2a92e4d21c2315b00822f2fa6e152e08f20700d07c

Aliases

arxiv: 1511.08870 · arxiv_version: 1511.08870v1 · doi: 10.48550/arxiv.1511.08870 · pith_short_12: 7GVN5EMUTBO2 · pith_short_16: 7GVN5EMUTBO2UP4G · pith_short_8: 7GVN5EMU

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/7GVN5EMUTBO2UP4GTMVJFZGSDQ \
  | 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: f9aade9194985daa3f869b2a92e4d21c2315b00822f2fa6e152e08f20700d07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886e1b54ac4b2a51eba11efdd54935ea87ce689eef181eba3ae054f82fb67920",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-28T06:04:47Z",
    "title_canon_sha256": "df48f5be6cdd2e3a9437373f38a20586432c4f2f0b997e8ce494b2b756ff41c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08870",
    "kind": "arxiv",
    "version": 1
  }
}