Pith Number

pith:EC3HT6Z3

pith:2007:EC3HT6Z37E7RAJM2ABMZHFFILB

not attested not anchored not stored refs pending

Schubert polynomials and classes of Hessenberg varieties

Dave Anderson, Julianna Tymoczko

arxiv:0710.3182 v2 · 2007-10-16 · math.AG · 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{EC3HT6Z37E7RAJM2ABMZHFFILB}

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	2026-05-18T04:14:36.699560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b679fb3bf93f10259a00599394a8587a022da3e209221ecc790c6cdcbe9d9c

Aliases

arxiv: 0710.3182 · arxiv_version: 0710.3182v2 · doi: 10.48550/arxiv.0710.3182 · pith_short_12: EC3HT6Z37E7R · pith_short_16: EC3HT6Z37E7RAJM2 · pith_short_8: EC3HT6Z3

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/EC3HT6Z37E7RAJM2ABMZHFFILB \
  | 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: 20b679fb3bf93f10259a00599394a8587a022da3e209221ecc790c6cdcbe9d9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b1a87bee298e26989161fd61650106844c6f481097594704c57739895bd825",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-16T21:13:42Z",
    "title_canon_sha256": "61bf9d3292b7c2711bcdc863e083a9d671dd4ede080726448349530d7b734714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3182",
    "kind": "arxiv",
    "version": 2
  }
}