Pith Number

pith:JWFG6GMV

pith:2000:JWFG6GMVRWUKIOBDKHCWCHRDFO

not attested not anchored not stored refs pending

The dihedral Lie algebras and Galois symmetries of \pi_1^l(P^1 - 0, infinity and N-th roots of unity)

A.B. Goncharov

arxiv:math/0009121 v1 · 2000-09-12 · math.AG · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWFG6GMVRWUKIOBDKHCWCHRDFO}

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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.

Cited by

1 paper in Pith

The Hopf algebra of formal multiple polylogarithms

Receipt and verification

First computed	2026-07-04T14:34:41.906883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8a6f19958da8a4382351c5611e232ba853c4ea736b5c5eff1f9954761cbb2e

Aliases

arxiv: math/0009121 · arxiv_version: math/0009121v1 · doi: 10.48550/arxiv.math/0009121 · pith_short_12: JWFG6GMVRWUK · pith_short_16: JWFG6GMVRWUKIOBD · pith_short_8: JWFG6GMV

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/JWFG6GMVRWUKIOBDKHCWCHRDFO \
  | 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: 4d8a6f19958da8a4382351c5611e232ba853c4ea736b5c5eff1f9954761cbb2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fae2281354892d23c9d11522ad8928248626e964f9488deeaed4e6d337096903",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-09-12T19:10:56Z",
    "title_canon_sha256": "e71b9fdc5e5dcf43b651f64b5bc8a01ec54292b1a7c916d6075b80b634c9577b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009121",
    "kind": "arxiv",
    "version": 1
  }
}