Pith Number

pith:CLGOVGMN

pith:2015:CLGOVGMN5XGDPMQI2PCNYDHXE3

not attested not anchored not stored refs pending

Linear relations, monodromy and Jordan cells of a circle valued map

Dan Burghelea

arxiv:1501.02486 v3 · 2015-01-11 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLGOVGMN5XGDPMQI2PCNYDHXE3}

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	2026-05-18T01:23:45.208801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ccea998dedcc37b208d3c4dc0cf726cb45ecd18efda22ca5186ac93e6d1697

Aliases

arxiv: 1501.02486 · arxiv_version: 1501.02486v3 · doi: 10.48550/arxiv.1501.02486 · pith_short_12: CLGOVGMN5XGD · pith_short_16: CLGOVGMN5XGDPMQI · pith_short_8: CLGOVGMN

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/CLGOVGMN5XGDPMQI2PCNYDHXE3 \
  | 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: 12ccea998dedcc37b208d3c4dc0cf726cb45ecd18efda22ca5186ac93e6d1697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2529e4a4c0b5fef4505e40f99067271cd19bb9c638239ada120708a55ae2340",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-01-11T19:00:36Z",
    "title_canon_sha256": "98a4f286cbc7ee8bcb6ab1b2ac11c1226d87fbcc791270658962d61e684b7663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02486",
    "kind": "arxiv",
    "version": 3
  }
}