Pith Number

pith:4QKOWL2M

pith:2017:4QKOWL2MNMBI5C6TUHUOUCQWHY

not attested not anchored not stored refs pending

Moduli spaces of curves in tropical varieties

Andreas Gathmann, Dennis Ochse

arxiv:1705.07626 v1 · 2017-05-22 · 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{4QKOWL2MNMBI5C6TUHUOUCQWHY}

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	2026-05-18T00:44:04.992192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e414eb2f4c6b028e8bd3a1e8ea0a163e2ac50af08e6f24933d866c8881843a11

Aliases

arxiv: 1705.07626 · arxiv_version: 1705.07626v1 · doi: 10.48550/arxiv.1705.07626 · pith_short_12: 4QKOWL2MNMBI · pith_short_16: 4QKOWL2MNMBI5C6T · pith_short_8: 4QKOWL2M

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/4QKOWL2MNMBI5C6TUHUOUCQWHY \
  | 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: e414eb2f4c6b028e8bd3a1e8ea0a163e2ac50af08e6f24933d866c8881843a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4750d8de2589a4a5068a25965395b49217b868420f87f83edfe3b8e4a1b709a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-22T09:29:52Z",
    "title_canon_sha256": "2332aa6511b7e4aefd23bb069e3e66eb6f661c1d1a00c3b45cf575e78fa74680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07626",
    "kind": "arxiv",
    "version": 1
  }
}