Pith Number

pith:CQQWBRVC

pith:2021:CQQWBRVCE36DZ35RK4D52PHIYA

not attested not anchored not stored refs pending

Complete asymptotic expansions for the relativistic Fermi-Dirac integral

A. Gil, J. Segura, N. M. Temme

arxiv:2108.11210 v2 · 2021-08-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQQWBRVCE36DZ35RK4D52PHIYA}

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.

Cited by

1 paper in Pith

Diophantine FLINT-HILLS series

Receipt and verification

First computed	2026-07-05T04:08:58.354409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

142160c6a226fc3cefb15707dd3ce8c0345402657f366cb477269f4db00464a0

Aliases

arxiv: 2108.11210 · arxiv_version: 2108.11210v2 · doi: 10.48550/arxiv.2108.11210 · pith_short_12: CQQWBRVCE36D · pith_short_16: CQQWBRVCE36DZ35R · pith_short_8: CQQWBRVC

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/CQQWBRVCE36DZ35RK4D52PHIYA \
  | 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: 142160c6a226fc3cefb15707dd3ce8c0345402657f366cb477269f4db00464a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986f84ebdaa8f1edd92fc240000d79d141dbca8e4bee10de1f044aa235021d77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-08-25T12:53:22Z",
    "title_canon_sha256": "3da4b7c8bf1d40e803ad6d2ac7c00201a6e7f28bc9b550c0ecf2d041f5d403a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11210",
    "kind": "arxiv",
    "version": 2
  }
}