Pith Number

pith:AUA3UGPI

pith:2026:AUA3UGPIUK3FCS43WQPGV2SLQC

not attested not anchored not stored refs pending

A Unified Discrete and Continuous Theory of Core-Halo Complexity Maximizers

Akshat Sharma

arxiv:2607.17907 v1 · 2026-07-20 · cond-mat.stat-mech · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUA3UGPIUK3FCS43WQPGV2SLQC}

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	2026-07-21T02:22:06.008686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0501ba19e8a2b6514b9bb41e6aea4b808da2dcf31b73691de07f66e96bf4f10e

Aliases

arxiv: 2607.17907 · arxiv_version: 2607.17907v1 · doi: 10.48550/arxiv.2607.17907 · pith_short_12: AUA3UGPIUK3F · pith_short_16: AUA3UGPIUK3FCS43 · pith_short_8: AUA3UGPI

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/AUA3UGPIUK3FCS43WQPGV2SLQC \
  | 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: 0501ba19e8a2b6514b9bb41e6aea4b808da2dcf31b73691de07f66e96bf4f10e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "570b6dc857b7ce9d30601e4346a6f9d474fe4e829184432846b23f755f3b9edb",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-20T12:58:53Z",
    "title_canon_sha256": "b1bf67c34fa7b179813bb13b094667fe0ef87d092144c3d1b42ebd5afbf51427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17907",
    "kind": "arxiv",
    "version": 1
  }
}