Pith Number

pith:Y2Q63Y42

pith:2018:Y2Q63Y42ZL6UX4DTGKKT5JKE42

not attested not anchored not stored refs pending

Stability of Tautological Bundles on Symmetric Products of Curves

Andreas Krug

arxiv:1809.06450 v1 · 2018-09-17 · 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{Y2Q63Y42ZL6UX4DTGKKT5JKE42}

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	2026-05-18T00:05:27.176825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a1ede39acafd4bf07332953ea544e6b0e86d53aa63e96446d8f61e3100b28b

Aliases

arxiv: 1809.06450 · arxiv_version: 1809.06450v1 · doi: 10.48550/arxiv.1809.06450 · pith_short_12: Y2Q63Y42ZL6U · pith_short_16: Y2Q63Y42ZL6UX4DT · pith_short_8: Y2Q63Y42

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/Y2Q63Y42ZL6UX4DTGKKT5JKE42 \
  | 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: c6a1ede39acafd4bf07332953ea544e6b0e86d53aa63e96446d8f61e3100b28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c6a722a9abcc7a48bc6e41a8b22c695724c46c78938dc5db2d1df03938b2a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-17T21:25:37Z",
    "title_canon_sha256": "6e6dd0dd37afb2c18a5ea5a512fcc4b6c021509fd38ff5ffbf847cb950c45f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06450",
    "kind": "arxiv",
    "version": 1
  }
}