Pith Number

pith:TLP2WFMM

pith:2014:TLP2WFMMFOGBWTPSQDQKQVJNBR

not attested not anchored not stored refs pending

About projectivisation of Mumford semistable bundles over a curve

Julien Keller

arxiv:1407.7062 v1 · 2014-07-25 · math.DG · 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{TLP2WFMMFOGBWTPSQDQKQVJNBR}

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	2026-05-18T00:44:28.892843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9adfab158c2b8c1b4df280e0a8552d0c640174ba9853c266eefbaf1a9f54c91d

Aliases

arxiv: 1407.7062 · arxiv_version: 1407.7062v1 · doi: 10.48550/arxiv.1407.7062 · pith_short_12: TLP2WFMMFOGB · pith_short_16: TLP2WFMMFOGBWTPS · pith_short_8: TLP2WFMM

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/TLP2WFMMFOGBWTPSQDQKQVJNBR \
  | 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: 9adfab158c2b8c1b4df280e0a8552d0c640174ba9853c266eefbaf1a9f54c91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b0722392bb641e98aeabab22f1735a296e685e134c338da8914fcdf11de25a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-07-25T21:11:34Z",
    "title_canon_sha256": "eeb6afb37e28f114c5f582dd66789f68b5e40832916ff710ecce0a3b7c8c985f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7062",
    "kind": "arxiv",
    "version": 1
  }
}