Pith Number

pith:6VOEJL6P

pith:2015:6VOEJL6PMXJDV4MXSR3SNCTKJM

not attested not anchored not stored refs pending

T-structures on elliptic fibrations

Jason Lo

arxiv:1509.03216 v1 · 2015-09-10 · 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{6VOEJL6PMXJDV4MXSR3SNCTKJM}

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	2026-05-18T00:54:20.761136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55c44afcf65d23af1979477268a6a4b2c27b6dc6ce271471c8dcee0fffb3927

Aliases

arxiv: 1509.03216 · arxiv_version: 1509.03216v1 · doi: 10.48550/arxiv.1509.03216 · pith_short_12: 6VOEJL6PMXJD · pith_short_16: 6VOEJL6PMXJDV4MX · pith_short_8: 6VOEJL6P

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/6VOEJL6PMXJDV4MXSR3SNCTKJM \
  | 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: f55c44afcf65d23af1979477268a6a4b2c27b6dc6ce271471c8dcee0fffb3927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be80493dde3e4397a000413f49cf5322ce666708579806d24ccbcb290f645a54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-10T16:38:51Z",
    "title_canon_sha256": "1b09ba86fdb26e8750c1d1c4a62b87d71c4120857cac7da2240bc1b0ed455f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03216",
    "kind": "arxiv",
    "version": 1
  }
}