Pith Number

pith:GH4D6FSG

pith:2013:GH4D6FSGEWZZZHWCXFCBNJKL6X

not attested not anchored not stored refs pending

On mixed multiplicities of ideals

A. G. Khovanskii, Kiumars Kaveh

arxiv:1310.7979 v2 · 2013-10-29 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GH4D6FSGEWZZZHWCXFCBNJKL6X}

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	2026-05-18T02:12:11.674945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f83f164625b39c9ec2b94416a54bf5d0cfcdce673fe0b00c5c36db55a6165b

Aliases

arxiv: 1310.7979 · arxiv_version: 1310.7979v2 · doi: 10.48550/arxiv.1310.7979 · pith_short_12: GH4D6FSGEWZZ · pith_short_16: GH4D6FSGEWZZZHWC · pith_short_8: GH4D6FSG

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/GH4D6FSGEWZZZHWCXFCBNJKL6X \
  | 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: 31f83f164625b39c9ec2b94416a54bf5d0cfcdce673fe0b00c5c36db55a6165b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380d02622ca86b65e9ee5737ad2e20ce1a1d49c4da34780140a359d5818cd510",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-29T22:48:13Z",
    "title_canon_sha256": "edf34879a386106deb38fec8df48e9d09fe8d832ffc98336982bd9b8ab75397b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7979",
    "kind": "arxiv",
    "version": 2
  }
}