pith. sign in
Pith Number

pith:5TGG4746

pith:2016:5TGG4746C4PHZZNCCMZJRPGPUQ
not attested not anchored not stored refs pending

Differentiability of non-archimedean volumes and non-archimedean Monge-Amp\`ere equations (with an appendix by Robert Lazarsfeld)

Florent Martin, Jos\'e Ignacio Burgos Gil, Klaus K\"unnemann, Philipp Jell, Walter Gubler

arxiv:1608.01919 v6 · 2016-08-05 · math.AG · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5TGG4746C4PHZZNCCMZJRPGPUQ}

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 2026-05-17T23:51:39.955681Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eccc6e7f9e171e7ce5a2133298bccfa42448fe36f4183348fa8ea7bdc2952455

Aliases

arxiv: 1608.01919 · arxiv_version: 1608.01919v6 · doi: 10.48550/arxiv.1608.01919 · pith_short_12: 5TGG4746C4PH · pith_short_16: 5TGG4746C4PHZZNC · pith_short_8: 5TGG4746
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5TGG4746C4PHZZNCCMZJRPGPUQ \
  | 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: eccc6e7f9e171e7ce5a2133298bccfa42448fe36f4183348fa8ea7bdc2952455
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "95c8baa8c2e1439ef993d35ed3445f085f75e7c213d47676ddaff10af081c2ca",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-05T15:40:38Z",
    "title_canon_sha256": "926466282cd882546368b5e8b8e6d7fa70f850016b235e65dfa3d4c291b5fa35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01919",
    "kind": "arxiv",
    "version": 6
  }
}