Pith Number

pith:3QXMNIUK

pith:2024:3QXMNIUK2SI5FROAIRG36R4CYC

not attested not anchored not stored refs pending

Stable curves and chromatic polynomials

Bernhard Reinke, Rob Silversmith

arxiv:2411.17551 v2 · 2024-11-26 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QXMNIUK2SI5FROAIRG36R4CYC}

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

Degenerations in tropical compactifications and tropical intersection theory of $\overline{M}_{0,n}$

Receipt and verification

First computed	2026-06-19T16:11:09.190588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc2ec6a28ad491d2c5c0444dbf4782c0836b07252a11791259acb648549a371a

Aliases

arxiv: 2411.17551 · arxiv_version: 2411.17551v2 · doi: 10.48550/arxiv.2411.17551 · pith_short_12: 3QXMNIUK2SI5 · pith_short_16: 3QXMNIUK2SI5FROA · pith_short_8: 3QXMNIUK

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/3QXMNIUK2SI5FROAIRG36R4CYC \
  | 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: dc2ec6a28ad491d2c5c0444dbf4782c0836b07252a11791259acb648549a371a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412133a2d9ea9611eac996f78aa64b03bc12e385a0a4a3e9e325972bd4db8ac8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-11-26T16:14:51Z",
    "title_canon_sha256": "b92593f811a35370fbb6baea78c7b98667968b4520280d88a391216e75d3fe01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17551",
    "kind": "arxiv",
    "version": 2
  }
}