Pith Number

pith:HBKLJUD2

pith:2025:HBKLJUD2FFT7R6GKBAU5KTT6AU

not attested not anchored not stored refs pending

Trapezodial property of the generalized Alexander polynomial

Alexander Postnikov, Karola M\'esz\'aros, Tam\'as K\'alm\'an

arxiv:2504.20967 v1 · 2025-04-29 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBKLJUD2FFT7R6GKBAU5KTT6AU}

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	2026-07-05T10:55:52.234498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3854b4d07a2967f8f8ca0829d54e7e050bf3432be977d6c1c0bb55be5971d5c9

Aliases

arxiv: 2504.20967 · arxiv_version: 2504.20967v1 · doi: 10.48550/arxiv.2504.20967 · pith_short_12: HBKLJUD2FFT7 · pith_short_16: HBKLJUD2FFT7R6GK · pith_short_8: HBKLJUD2

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/HBKLJUD2FFT7R6GKBAU5KTT6AU \
  | 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: 3854b4d07a2967f8f8ca0829d54e7e050bf3432be977d6c1c0bb55be5971d5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d6dc000519c5d3ed94149b4f5f0b9031b57e839b4ca8952fce2e145aae8467",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-29T17:37:31Z",
    "title_canon_sha256": "753138638e2291315b7688cfbcea7fdec5bc439427b57a49b0f8e5ea587b5834"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20967",
    "kind": "arxiv",
    "version": 1
  }
}