Pith Number

pith:EMGFJU6Q

pith:2024:EMGFJU6QQV2NNEWJALOJMGMZH6

not attested not anchored not stored refs pending

Numerical spectrums control Cohomological spectrums

Junyi Xie

arxiv:2412.01216 v2 · 2024-12-02 · 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{EMGFJU6QQV2NNEWJALOJMGMZH6}

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

2 papers in Pith

A lower bound for polynomial volume growth of automorphisms of zero entropy

Receipt and verification

First computed	2026-07-05T10:41:18.126539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

230c54d3d08574d692c902dc9619993f896411bd974b1dac251bda91af878e20

Aliases

arxiv: 2412.01216 · arxiv_version: 2412.01216v2 · doi: 10.48550/arxiv.2412.01216 · pith_short_12: EMGFJU6QQV2N · pith_short_16: EMGFJU6QQV2NNEWJ · pith_short_8: EMGFJU6Q

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/EMGFJU6QQV2NNEWJALOJMGMZH6 \
  | 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: 230c54d3d08574d692c902dc9619993f896411bd974b1dac251bda91af878e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61df8ae2f9e227401956be189b16de8fa49b990eb3a6d9354850e269ec7ffc96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-02T07:35:48Z",
    "title_canon_sha256": "68cdf61a0e74aefdfbf32dbb4febd377dedc5efc1679d73cb6359546122d8bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01216",
    "kind": "arxiv",
    "version": 2
  }
}