Pith Number

pith:RPTPVTRV

pith:2015:RPTPVTRVMNU67GHT7YQAXGEIGI

not attested not anchored not stored refs pending

Descendent Tropical Mirror Symmetry for $\mathbb{P}^2$

D. Peter Overholser

arxiv:1504.06138 v1 · 2015-04-23 · 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{RPTPVTRVMNU67GHT7YQAXGEIGI}

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	2026-05-18T02:18:02.431686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8be6face356369ef98f3fe200b98883214a59f83bca38a37a17cfb880c1cc6b6

Aliases

arxiv: 1504.06138 · arxiv_version: 1504.06138v1 · doi: 10.48550/arxiv.1504.06138 · pith_short_12: RPTPVTRVMNU6 · pith_short_16: RPTPVTRVMNU67GHT · pith_short_8: RPTPVTRV

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/RPTPVTRVMNU67GHT7YQAXGEIGI \
  | 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: 8be6face356369ef98f3fe200b98883214a59f83bca38a37a17cfb880c1cc6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bacfe26386468d9fb30604d1bf961ada0254447e6a5da9a1b1190b7457d14f35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-23T12:16:25Z",
    "title_canon_sha256": "26e39b5e2c9b9400c310b43c01a113806596bf4bc0069a9d4d5761e6d513d2d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06138",
    "kind": "arxiv",
    "version": 1
  }
}