Pith Number

pith:NCNJM3HL

pith:2014:NCNJM3HLU5RK4CVADN5XVYFRLZ

not attested not anchored not stored refs pending

A symplectic proof of the Horn inequalities

Andras Szenes, Anton Alekseev, Masha Podkopaeva

arxiv:1410.3149 v1 · 2014-10-12 · math.SG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCNJM3HLU5RK4CVADN5XVYFRLZ}

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	2026-05-18T02:40:16.898264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689a966ceba762ae0aa01b7b7ae0b15e7302301ceef53e6d834e02d6c5dd25d7

Aliases

arxiv: 1410.3149 · arxiv_version: 1410.3149v1 · doi: 10.48550/arxiv.1410.3149 · pith_short_12: NCNJM3HLU5RK · pith_short_16: NCNJM3HLU5RK4CVA · pith_short_8: NCNJM3HL

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/NCNJM3HLU5RK4CVADN5XVYFRLZ \
  | 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: 689a966ceba762ae0aa01b7b7ae0b15e7302301ceef53e6d834e02d6c5dd25d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1072e22587c1543d38871a2049731654de1b61a3fcda2152212cfd351db083b8",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-10-12T21:03:54Z",
    "title_canon_sha256": "f0e2f94911e33692b87b2d064f0ea013aadd4fb40f40c2b82a77d721ff50d5fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3149",
    "kind": "arxiv",
    "version": 1
  }
}