Pith Number

pith:VWUBPJY7

pith:2013:VWUBPJY7PHWTQBD6F5CXT6FXLC

not attested not anchored not stored refs pending

The Realizability of Curves in a Tropical Plane

Andreas Gathmann, Anna Lena Winstel, Kirsten Schmitz

arxiv:1307.5686 v1 · 2013-07-22 · 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{VWUBPJY7PHWTQBD6F5CXT6FXLC}

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	2026-05-18T03:17:54.957759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada817a71f79ed38047e2f4579f8b758860f0ba3d1ba6fbb681885c0c5a0c19d

Aliases

arxiv: 1307.5686 · arxiv_version: 1307.5686v1 · doi: 10.48550/arxiv.1307.5686 · pith_short_12: VWUBPJY7PHWT · pith_short_16: VWUBPJY7PHWTQBD6 · pith_short_8: VWUBPJY7

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/VWUBPJY7PHWTQBD6F5CXT6FXLC \
  | 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: ada817a71f79ed38047e2f4579f8b758860f0ba3d1ba6fbb681885c0c5a0c19d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d76bd09e380af68510a2f25aa5a1cb71fa357709b578aa8cef2ff2ea04369d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-22T12:53:17Z",
    "title_canon_sha256": "803758f8eb8092fbbfcb1cfe55aaacadf492bc10e5e29a81c7994e784ceeccc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5686",
    "kind": "arxiv",
    "version": 1
  }
}