Pith Number

pith:XTBSDU4N

pith:2016:XTBSDU4NUFLDXVB5P5RJXZPTXX

not attested not anchored not stored refs pending

Singularities of metrics on Hodge bundles and their topological invariants

Christophe Mourougane, Dennis Eriksson, Gerard Freixas i Montplet

arxiv:1611.03017 v1 · 2016-11-09 · math.AG · math.CV · 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{XTBSDU4NUFLDXVB5P5RJXZPTXX}

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	2026-05-18T00:01:16.666872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc321d38da1563bd43d7f629be5f3bde75dc5ef5e22a50443be10cfd03905f3

Aliases

arxiv: 1611.03017 · arxiv_version: 1611.03017v1 · doi: 10.48550/arxiv.1611.03017 · pith_short_12: XTBSDU4NUFLD · pith_short_16: XTBSDU4NUFLDXVB5 · pith_short_8: XTBSDU4N

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/XTBSDU4NUFLDXVB5P5RJXZPTXX \
  | 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: bcc321d38da1563bd43d7f629be5f3bde75dc5ef5e22a50443be10cfd03905f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f49c1c4e7f41524c4b06f008582e8b90104e5e2d47f956c7267e36a63c64b9",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-09T17:16:09Z",
    "title_canon_sha256": "ddbe7bfcc12e3352bd5cf322e6f8ee984a4d3e57c9ae58da3d702165a036c9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03017",
    "kind": "arxiv",
    "version": 1
  }
}