Pith Number

pith:EHRQ5DO3

pith:2015:EHRQ5DO3LLZST5ZT7ZRATRZ7AF

not attested not anchored not stored refs pending

Essential bases and toric degenerations arising from birational sequences

Ghislain Fourier, Peter Littelmann, Xin Fang

arxiv:1510.02295 v3 · 2015-10-08 · math.AG · 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{EHRQ5DO3LLZST5ZT7ZRATRZ7AF}

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	2026-05-18T00:34:00.252899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21e30e8ddb5af329f733fe6209c73f016400c354eea8256aa2e8f817aaf7e211

Aliases

arxiv: 1510.02295 · arxiv_version: 1510.02295v3 · doi: 10.48550/arxiv.1510.02295 · pith_short_12: EHRQ5DO3LLZS · pith_short_16: EHRQ5DO3LLZST5ZT · pith_short_8: EHRQ5DO3

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/EHRQ5DO3LLZST5ZT7ZRATRZ7AF \
  | 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: 21e30e8ddb5af329f733fe6209c73f016400c354eea8256aa2e8f817aaf7e211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5fd45f8b80f4e60f461e3431515adefe2115d309ca46e7364c70d67430483d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-08T12:26:31Z",
    "title_canon_sha256": "c56bb924e21c3c8bd645d4cff1dc9bd79e4af19ad6261b9121f55dd6febe073e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02295",
    "kind": "arxiv",
    "version": 3
  }
}