Pith Number

pith:VAV6BLVV

pith:2016:VAV6BLVVLXTROEO4YEIMXIE566

not attested not anchored not stored refs pending

Convergence of polarizations, toric degenerations, and Newton-Okounkov bodies

Kiumars Kaveh, Mark Hamilton, Megumi Harada

arxiv:1612.08981 v2 · 2016-12-28 · math.SG · 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{VAV6BLVVLXTROEO4YEIMXIE566}

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	2026-05-18T00:22:12.084946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82be0aeb55de71711dcc110cba09df780d84c7bf0a0f05d0395e5e7164cb110

Aliases

arxiv: 1612.08981 · arxiv_version: 1612.08981v2 · doi: 10.48550/arxiv.1612.08981 · pith_short_12: VAV6BLVVLXTR · pith_short_16: VAV6BLVVLXTROEO4 · pith_short_8: VAV6BLVV

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/VAV6BLVVLXTROEO4YEIMXIE566 \
  | 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: a82be0aeb55de71711dcc110cba09df780d84c7bf0a0f05d0395e5e7164cb110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9eb12ac998f79f98ea4e1b8a32eaa4ffd014acd68a80ee48c50245437f49a80",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-12-28T20:48:34Z",
    "title_canon_sha256": "fff895dd9b38bf27e71133ff5b0220a0fd84f852f508bd17d5666b01e24a455b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08981",
    "kind": "arxiv",
    "version": 2
  }
}