Pith Number

pith:6EMWIVIM

pith:2026:6EMWIVIMVDY4FSCODX46AGLZAB

not attested not anchored not stored refs pending

Symplectic duality for the constant term of the geometric Eisenstein series

Igor Chaban

arxiv:2606.20277 v1 · 2026-06-18 · math.AG · math-ph · math.MP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EMWIVIMVDY4FSCODX46AGLZAB}

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	2026-06-19T16:13:07.566877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f11964550ca8f1c2c84e1df9e01979007010ad21e3aab9d52ada1f9054113d3a

Aliases

arxiv: 2606.20277 · arxiv_version: 2606.20277v1 · doi: 10.48550/arxiv.2606.20277 · pith_short_12: 6EMWIVIMVDY4 · pith_short_16: 6EMWIVIMVDY4FSCO · pith_short_8: 6EMWIVIM

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/6EMWIVIMVDY4FSCODX46AGLZAB \
  | 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: f11964550ca8f1c2c84e1df9e01979007010ad21e3aab9d52ada1f9054113d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c86e81bce14b379867b5e1f878bcaf0327856ccd2ea11b2f062cd72088f1f79",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-18T14:19:33Z",
    "title_canon_sha256": "955452a19f13d5d8b756d8af685abb2c7da7031966388614eb7ff35375b91b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20277",
    "kind": "arxiv",
    "version": 1
  }
}