Pith Number

pith:F5IISQS2

pith:2018:F5IISQS2VJGKQL7YKN4IZRNJ4X

not attested not anchored not stored refs pending

Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points

Andreas Krug, J{\o}rgen Vold Rennemo

arxiv:1808.05931 v2 · 2018-08-17 · 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{F5IISQS2VJGKQL7YKN4IZRNJ4X}

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	2026-05-17T23:41:01.181385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f5089425aaa4ca82ff853788cc5a9e5f30551327c298abab24347c0c0c79128

Aliases

arxiv: 1808.05931 · arxiv_version: 1808.05931v2 · doi: 10.48550/arxiv.1808.05931 · pith_short_12: F5IISQS2VJGK · pith_short_16: F5IISQS2VJGKQL7Y · pith_short_8: F5IISQS2

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/F5IISQS2VJGKQL7YKN4IZRNJ4X \
  | 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: 2f5089425aaa4ca82ff853788cc5a9e5f30551327c298abab24347c0c0c79128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "213d42feb133284c753c9f798d9adb95b2b5bfaef938831fe6e8f946d0cda46c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-17T17:02:30Z",
    "title_canon_sha256": "cce69975f1220d5d2a21101fa2ccdd984154db1b30a73a2bed8bdfc19039e8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05931",
    "kind": "arxiv",
    "version": 2
  }
}