Pith Number

pith:GPYLCJIQ

pith:2013:GPYLCJIQE3QRPX6MXDDLAY4O5Z

not attested not anchored not stored refs pending

Stable Intersections of Tropical Varieties

Anders Jensen, Josephine Yu

arxiv:1309.7064 v3 · 2013-09-26 · math.AG · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPYLCJIQE3QRPX6MXDDLAY4O5Z}

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	2026-05-18T01:09:29.874970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f0b1251026e117dfccb8c6b0638eee7d8ed8d457498ee8a67558c33496bb23

Aliases

arxiv: 1309.7064 · arxiv_version: 1309.7064v3 · doi: 10.48550/arxiv.1309.7064 · pith_short_12: GPYLCJIQE3QR · pith_short_16: GPYLCJIQE3QRPX6M · pith_short_8: GPYLCJIQ

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/GPYLCJIQE3QRPX6MXDDLAY4O5Z \
  | 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: 33f0b1251026e117dfccb8c6b0638eee7d8ed8d457498ee8a67558c33496bb23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871920139f8d6df2c3d53b9799612ed97cc94fcff39cc23c1be2f96bc40828e0",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-26T20:19:38Z",
    "title_canon_sha256": "9f9b49b3c465c49afb391870d48a486716f4a11a789dc39916972ee163fef130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7064",
    "kind": "arxiv",
    "version": 3
  }
}