Pith Number

pith:MW2CUMJN

pith:2014:MW2CUMJNJT4XLQCMRS5GYMZO33

not attested not anchored not stored refs pending

Smoothing of Limit Linear Series of Rank One on Saturated Metrized Complexes of Algebraic Curves

Madhusudan Manjunath, Ye Luo

arxiv:1411.2325 v4 · 2014-11-10 · math.AG · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MW2CUMJNJT4XLQCMRS5GYMZO33}

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	2026-05-18T00:41:13.321061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65b42a312d4cf975c04c8cba6c332edecd6b7c55f72b072c4070b2741bf32a95

Aliases

arxiv: 1411.2325 · arxiv_version: 1411.2325v4 · doi: 10.48550/arxiv.1411.2325 · pith_short_12: MW2CUMJNJT4X · pith_short_16: MW2CUMJNJT4XLQCM · pith_short_8: MW2CUMJN

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/MW2CUMJNJT4XLQCMRS5GYMZO33 \
  | 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: 65b42a312d4cf975c04c8cba6c332edecd6b7c55f72b072c4070b2741bf32a95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992a32e373c4b61cdde502bafd8788986c8f0a7cd8507975a83af09649f45ffe",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-10T05:15:29Z",
    "title_canon_sha256": "821a22032281ae7ea224680f0e0a661efe7867ee110b97652e42780e9adafdf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2325",
    "kind": "arxiv",
    "version": 4
  }
}