Pith Number

pith:TW6ZRGRM

pith:2011:TW6ZRGRMBG7ZC2GWPWYZTYWAKA

not attested not anchored not stored refs pending

Remarks on Eisenstein

Alexander Borichev, Yuri Bilu

arxiv:1112.2290 v2 · 2011-12-10 · 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{TW6ZRGRMBG7ZC2GWPWYZTYWAKA}

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	2026-05-18T04:05:57.227824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dbd989a2c09bf9168d67db199e2c0503bd0ff569bc6eb833e98a25eff70af5d

Aliases

arxiv: 1112.2290 · arxiv_version: 1112.2290v2 · doi: 10.48550/arxiv.1112.2290 · pith_short_12: TW6ZRGRMBG7Z · pith_short_16: TW6ZRGRMBG7ZC2GW · pith_short_8: TW6ZRGRM

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/TW6ZRGRMBG7ZC2GWPWYZTYWAKA \
  | 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: 9dbd989a2c09bf9168d67db199e2c0503bd0ff569bc6eb833e98a25eff70af5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "163b7e54b57b6fa542495e8e6af7c1c7814d2d4ca14883df3ae5ef772684c148",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-10T17:11:49Z",
    "title_canon_sha256": "4343f5b1476b6ba5b30b7660ea4da127379d4c2c12a6cd6a0fba6f13bb5f909e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2290",
    "kind": "arxiv",
    "version": 2
  }
}