Pith Number

pith:TWNVTR5P

pith:2015:TWNVTR5PABFA5F6FZXWH557P3E

not attested not anchored not stored refs pending

Chern-Schwartz-MacPherson classes for Schubert cells in flag manifolds

Leonardo C. Mihalcea, Paolo Aluffi

arxiv:1508.01535 v2 · 2015-08-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWNVTR5PABFA5F6FZXWH557P3E}

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	2026-05-17T23:53:34.420556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9b59c7af004a0e97c5cdec7ef7efd9056f4ed671d861352019554961e506c1

Aliases

arxiv: 1508.01535 · arxiv_version: 1508.01535v2 · doi: 10.48550/arxiv.1508.01535 · pith_short_12: TWNVTR5PABFA · pith_short_16: TWNVTR5PABFA5F6F · pith_short_8: TWNVTR5P

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/TWNVTR5PABFA5F6FZXWH557P3E \
  | 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: 9d9b59c7af004a0e97c5cdec7ef7efd9056f4ed671d861352019554961e506c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c265c58036f0fc6f62024ebbc8b31c73569373ce6e3ac3d18ad249e2cc780447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-06T20:33:32Z",
    "title_canon_sha256": "01d8bcde7beb801036fed1e669639591892861b4c2713f814a62c7c5851299aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01535",
    "kind": "arxiv",
    "version": 2
  }
}