Pith Number

pith:SIRAWXU3

pith:2017:SIRAWXU3472GMZQU5OMFXW5ZDY

not attested not anchored not stored refs pending

On the Arithmetic of Elliptic Curves and a Homotopy Limit Problem

Igor Kriz

arxiv:1709.03880 v1 · 2017-09-12 · 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{SIRAWXU3472GMZQU5OMFXW5ZDY}

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	2026-05-18T00:35:29.130162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92220b5e9be7f4666614eb985bdbb91e206788f8e51d72a8eb4293afaf1ac2a4

Aliases

arxiv: 1709.03880 · arxiv_version: 1709.03880v1 · doi: 10.48550/arxiv.1709.03880 · pith_short_12: SIRAWXU3472G · pith_short_16: SIRAWXU3472GMZQU · pith_short_8: SIRAWXU3

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/SIRAWXU3472GMZQU5OMFXW5ZDY \
  | 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: 92220b5e9be7f4666614eb985bdbb91e206788f8e51d72a8eb4293afaf1ac2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369c51412405dbbeecd1def57fde7cb193b728ac4a1eaf794e0e73208b77a33f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-12T14:47:52Z",
    "title_canon_sha256": "00d33e85ddbc3e32ff2c463d408b397fff81de33cc7aaf6961ebe62559fcaa42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03880",
    "kind": "arxiv",
    "version": 1
  }
}