Pith Number

pith:MUZKNRJR

pith:2015:MUZKNRJRB6OT3MAI4GMHC3V5ZR

not attested not anchored not stored refs pending

Monotone Maps on dendrites and their induced maps

Haithem Abouda, Issam Naghmouchi

arxiv:1507.06532 v1 · 2015-07-23 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUZKNRJRB6OT3MAI4GMHC3V5ZR}

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	2026-05-18T01:36:24.718212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6532a6c5310f9d3db008e198716ebdcc6ebc7daba29f4c54cfff534af16cd1ff

Aliases

arxiv: 1507.06532 · arxiv_version: 1507.06532v1 · doi: 10.48550/arxiv.1507.06532 · pith_short_12: MUZKNRJRB6OT · pith_short_16: MUZKNRJRB6OT3MAI · pith_short_8: MUZKNRJR

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/MUZKNRJRB6OT3MAI4GMHC3V5ZR \
  | 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: 6532a6c5310f9d3db008e198716ebdcc6ebc7daba29f4c54cfff534af16cd1ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08de34812892066625bbf593ed37c5b1ec42e9a6637a2d46e5fc4799d85c4c7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-23T15:30:04Z",
    "title_canon_sha256": "9057762b649b68fa814eb30294d76b532e98d278d48013a97282e3b89f2788fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06532",
    "kind": "arxiv",
    "version": 1
  }
}