Pith Number

pith:ZSCXM5MA

pith:2015:ZSCXM5MAHJGUJDZUIXHNHBYLMS

not attested not anchored not stored refs pending

On separating fixed points from zero by invariants

Jonathan Elmer, Martin Kohls

arxiv:1505.02932 v1 · 2015-05-12 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSCXM5MAHJGUJDZUIXHNHBYLMS}

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	2026-05-18T01:14:45.380223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc857675803a4d448f3445ced3870b648388414905cf0d3d242b9b4f0d6e46c7

Aliases

arxiv: 1505.02932 · arxiv_version: 1505.02932v1 · doi: 10.48550/arxiv.1505.02932 · pith_short_12: ZSCXM5MAHJGU · pith_short_16: ZSCXM5MAHJGUJDZU · pith_short_8: ZSCXM5MA

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/ZSCXM5MAHJGUJDZUIXHNHBYLMS \
  | 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: cc857675803a4d448f3445ced3870b648388414905cf0d3d242b9b4f0d6e46c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a97ad4e1218b9d35c0d69c817268ec492427ea3323f8fda0766da058d713e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-05-12T09:40:40Z",
    "title_canon_sha256": "7041a99011141ea42fc7cd8f96a07195d38e7b939cad07c27f42cf5d0d079b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02932",
    "kind": "arxiv",
    "version": 1
  }
}