Pith Number

pith:6RVAMUHR

pith:2013:6RVAMUHRL7XBOGOD77OT7S7ZNH

not attested not anchored not stored refs pending

Lower Bounds in Real Schubert Calculus

Christopher J. Hillar, Frank Sottile, Nickolas Hein

arxiv:1308.4381 v1 · 2013-08-20 · 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{6RVAMUHRL7XBOGOD77OT7S7ZNH}

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	2026-05-18T03:15:32.976821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f46a0650f15fee1719c3ffdd3fcbf969f71757af46b4ce22129cc5c287c97784

Aliases

arxiv: 1308.4381 · arxiv_version: 1308.4381v1 · doi: 10.48550/arxiv.1308.4381 · pith_short_12: 6RVAMUHRL7XB · pith_short_16: 6RVAMUHRL7XBOGOD · pith_short_8: 6RVAMUHR

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/6RVAMUHRL7XBOGOD77OT7S7ZNH \
  | 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: f46a0650f15fee1719c3ffdd3fcbf969f71757af46b4ce22129cc5c287c97784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6faa6d078d96f727074781d0002a987d6599a1244e02a3f8e684e60411d04de0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-20T19:12:03Z",
    "title_canon_sha256": "08757bf9c9202edebb69798eb1fcf762fab4d16de1fdcf177ef09f3c51fea6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4381",
    "kind": "arxiv",
    "version": 1
  }
}