Pith Number

pith:TY7QM4RJ

pith:2018:TY7QM4RJP6TDDIUBDYKSLBJMLR

not attested not anchored not stored refs pending

Morse cohomology estimates for jet differential operators

Jean-Pierre Demailly (IF), Mohammad Reza Rahmati (IAG)

arxiv:1806.10847 v1 · 2018-06-28 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY7QM4RJP6TDDIUBDYKSLBJMLR}

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	2026-05-18T00:12:02.138782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3f0672297fa631a2811e1525852c5c5c3b8567a0849822a8023adafdfb2f65

Aliases

arxiv: 1806.10847 · arxiv_version: 1806.10847v1 · doi: 10.48550/arxiv.1806.10847 · pith_short_12: TY7QM4RJP6TD · pith_short_16: TY7QM4RJP6TDDIUB · pith_short_8: TY7QM4RJ

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/TY7QM4RJP6TDDIUBDYKSLBJMLR \
  | 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: 9e3f0672297fa631a2811e1525852c5c5c3b8567a0849822a8023adafdfb2f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9c65598012a6b381fbb65c18b6d6e35c8be3074f5f1c2ab9b0ee081c450961",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-28T09:36:52Z",
    "title_canon_sha256": "f6f12b1b6737319c9808d7987776c0eb4ab621385e1dbadc2b8579a938b562bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10847",
    "kind": "arxiv",
    "version": 1
  }
}