Pith Number

pith:3TNLIHVX

pith:2020:3TNLIHVX6E4GQJF2RCTJBAHNLX

not attested not anchored not stored refs pending

Logarithmic Donaldson-Thomas theory

Davesh Maulik, Dhruv Ranganathan

arxiv:2006.06603 v4 · 2020-06-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TNLIHVX6E4GQJF2RCTJBAHNLX}

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.

Cited by

1 paper in Pith

Universality for tropical and logarithmic maps

Receipt and verification

First computed	2026-07-05T07:30:35.871423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcdab41eb7f1386824ba88a69080ed5ddfc2753fe01e0f606373e129b08e7fc7

Aliases

arxiv: 2006.06603 · arxiv_version: 2006.06603v4 · doi: 10.48550/arxiv.2006.06603 · pith_short_12: 3TNLIHVX6E4G · pith_short_16: 3TNLIHVX6E4GQJF2 · pith_short_8: 3TNLIHVX

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/3TNLIHVX6E4GQJF2RCTJBAHNLX \
  | 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: dcdab41eb7f1386824ba88a69080ed5ddfc2753fe01e0f606373e129b08e7fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25975ddfd0ce7fa3f5cc1aea1be826cf006057030a5d1eea93e377fd98f6f943",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-06-11T16:54:00Z",
    "title_canon_sha256": "8d948c10edc51253941439856dadae0adbd885873bf7c5d0d45c9dcb5337dc1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.06603",
    "kind": "arxiv",
    "version": 4
  }
}