Pith Number

pith:TDNP4LLD

pith:2016:TDNP4LLDEHRT7MYIB3HZW2GYRX

not attested not anchored not stored refs pending

Functional equations for multi-signed Selmer groups

Antonio Lei, Gautier Ponsinet

arxiv:1601.04999 v2 · 2016-01-19 · 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{TDNP4LLDEHRT7MYIB3HZW2GYRX}

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	2026-05-18T00:10:19.704995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98dafe2d6321e33fb3080ecf9b68d88dc08eae6e9bd7e254f67a403c88657ca4

Aliases

arxiv: 1601.04999 · arxiv_version: 1601.04999v2 · doi: 10.48550/arxiv.1601.04999 · pith_short_12: TDNP4LLDEHRT · pith_short_16: TDNP4LLDEHRT7MYI · pith_short_8: TDNP4LLD

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/TDNP4LLDEHRT7MYIB3HZW2GYRX \
  | 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: 98dafe2d6321e33fb3080ecf9b68d88dc08eae6e9bd7e254f67a403c88657ca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20013b92050ecc1d88d3a9d5384cd0d8819e1bf7965d0f4d30e39035aaad1fa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-19T17:04:22Z",
    "title_canon_sha256": "c5355d06a50b2cbd19ae1b0591beb0f68e62fcb7e174c0c4c5c3495343a803e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04999",
    "kind": "arxiv",
    "version": 2
  }
}