Pith Number

pith:G5S7GPVO

pith:2017:G5S7GPVOGPLDSUYAUBMWXFDUDW

not attested not anchored not stored refs pending

Toric Varieties vs. Horofunction Compactifications of Polyhedral Norms

Anna-Sofie Schilling, Lizhen Ji

arxiv:1705.07599 v1 · 2017-05-22 · math.MG · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5S7GPVOGPLDSUYAUBMWXFDUDW}

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	2026-05-18T00:44:05.082628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3765f33eae33d6395300a0596b94741d9560d9ab195000332512ee75f66675cf

Aliases

arxiv: 1705.07599 · arxiv_version: 1705.07599v1 · doi: 10.48550/arxiv.1705.07599 · pith_short_12: G5S7GPVOGPLD · pith_short_16: G5S7GPVOGPLDSUYA · pith_short_8: G5S7GPVO

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/G5S7GPVOGPLDSUYAUBMWXFDUDW \
  | 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: 3765f33eae33d6395300a0596b94741d9560d9ab195000332512ee75f66675cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b4d4b3dbef4f3ec58d603c12909d54108e5a76abe38d1d63ed3aa7c09c9bc7",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-05-22T08:09:05Z",
    "title_canon_sha256": "64142e81a44d5b8e58f25f429c6abcbaa0cdad3bb15cf98eab58fe0301a72ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07599",
    "kind": "arxiv",
    "version": 1
  }
}